Work with a partner. ALGEBRA II Worksheet 11. Suppose the area of the square is 1 at stage 0. SEQUENCES & SERIES WORKSHEET. Brian McLogan 179,077 views. pdf - Int 3 Ch 4. This Sequences and Series: Geometric Sequence Worksheet is suitable for 9th - 10th Grade. axml Author: brocketj Created Date: 9/15/2011 4:20:00 PM. 2 There is a pattern to the blocks. Graph the sequence and state whether it is arithmetic, geometric, or neither. 3, 11, 19. Math II Name: _____ Geometric Sequences and Series Date: _____ Pd. Recursive arithmetic sequence worksheet intrepidpath formula for geometric worksheets. Use the 'Paste Special Transpose' option to switch rows to columns or columns to rows in Excel. Finding the nth term and the sum of a geometric sequence is like solving a puzzle. Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). Sequences 1. Find the sum of the following series. SEQUENCES AND SERIES WORKSHEET. Simplifying using the FOIL Method Lessons. 5 Arithmetic Sequences as Linear Functions An Image/Link below is provided (as is) to download presentation. Teaching Geometry According to the Common Core Standards H. Review Guide for Arithmetic and Geometric Sequence and Series. Sequences and Series IB Problems Worksheet 1. 2 There is a pattern to the blocks. SEQUENCES AND SERIES WORKSHEET. 17) a 16 = 105 and a 30 = 203 18) a 17 = −95 and a 38. You can also use the TRANSPOSE function. Put them in order by numbering them 1, 2, and 3. Learning to draw conclusions as they read is an important tool for students, as it aids in comprehending text. 54 centimeters 1 kilometer = 0. pdf doc ; Integral Test - Using the integral test to determine if series converge. ) with full confidence. 21 a =25, r = 5 22) a If) o / 04 Given two terms in a geometric sequence find the 8th term and the recursive formula. You should know the convergence properties of these canonical series by heart. Begin Recursion. 6 Composite shapes 15. ©k l2t0 1K2 U KIu utua 7 qS7oCfOt BwMaDrlel uLxL5C8. Edraw built-in graphic organizer templates give you inspirations and an easy start in teaching and learning. Unit 1 Number Sense. Edgar is getting better at math. Sigma notation Sigma notation is a method used to write out a long sum in a concise way. Algebra 1-2. Designed for my bottom set Year 11 group. The sum of the first four terms of the arithmetic sequence is 12. Finite Geometric Series—is the sum of the finite geometric sequence. Word Search Worksheets Earthquakes Vocabulary Word Search worksheet Volcanoes Vocabulary Word Search worksheet soil Word Search worksheet Electricity Vocabulary Word Search worksheet Plant vocabulary Word Search worksheet Solar System vocabulary Word Search worksheet ENERGY Word Search worksheet Nutrition Word Search worksheet Dental Health Word Search worksheet Sea Word Search worksheet. Determine the general formula () for the geometric sequence. Using Excel to Fit a Titration Curve *. Sequences and Series Foldables & INB Pages One of my last Algebra 2 units before state testing was arithmetic and geometric sequences and series. 032 Use a calculator. Ratios worksheet for 7th grade children. Math II Name: _____ Geometric Sequences and Series Date: _____ Pd. You have won contest sponsored by a local radio station. Graphing Functions. Geometry is everywhere! Lines, line segments, and points are all around. 1) 35, 32, 29, 26, … arithmetic The common difference is 3. The quiz contains five multiple-choice questions and you. Sometimes, the next term in a sequence is defined by a preceding term or two, these are called recursive sequences. Sequences and Series teaches students how to define, notate and interpret different types of series and sequences, such as arithmetic and geometric, and how to use mathematical induction in proofs and on their homework. The Transformations Worksheets are randomly created and will never repeat so you have an endless supply of quality Transformations Worksheets to use in the classroom or at home. How to solve geometric sequence problems Business plan examples doc compare and contrast research paper ancient civilizations outline writing a proper essay. Smoothing Techniques: A time series is a sequence of observations, which are ordered in time. Quiz_HL_seq_series_v1. 2 Abstract Instructional design models provide for a systematic approach of implementing the instructional design process for a specific educational initiative (Morrison, Ross, & Kemp, 2004). 3 GEOMETRY AND MEASUREMENT CLAST MATHEMATICS COMPETENCIES IB1: Round measurements to the nearest given unit of the measuring device used IB2a: Calculate distances. This means that it can be put into the form of a geometric series. Click on the free 9th grade math worksheet you would like to print or download. The sequence is not geometric. The geometric series converges and has a sum of if. 68 1, 4, 16, 64, Is this sequence below arithmetic or geometric? How do you know?. For question numbers 1 to 5, state the type of the sequence. This is okay, as the arithmetic sequence is more aligned to our upcoming unit, and the Geometric sequence formula does not rely on intuition as much as the other one does. Find the 18th term of a geometric sequence with a first term of 5 and a common ratio of 3. Math 211 Sets Practice Worksheet--Answers 4. Given the first term and the common ratio of a geometric sequence find the first five terms and the explicit formula. The limit of P(n) as n approaches infinity, lim n→∞ P(n) = ∞. As much as possible, I'll try to move from basic to more advanced, emphasizing the features most commonly used. Continuing a geometric sequence with a first term 'a' and common RATIO 'r'. Download Presentation 3. Order Please!. 8 a) tn 5 9 5n 4 b) f (n) 5 2n2 3n 4 _1 (4) c) f (n) 5 0 2 4 n f (n) 5 f (n 1) 4 2. 0 Introduction to Geometric Sequences and Series Investigation: Geometric Sequences Finding the Common Ratio Your Turn: Arithmetic vs. Lesson Plan Title: Geometric Sequence. High School Units-All-03feb12. Algebra 2 AII. Here, you can find a wide selection of math worksheets for all ages and grade levels. Patterns of Association (Using Data Tables) Relating Counting to Addition and Subtraction. Write an explicit rule for the nth term of the sequence. So do lots of other plants and animals. If we add a number to get from one element to the next, we call it an arithmetic sequence. #3 Describe the following sequences as arithmetic, geometric, or neither. Geometric Sequences Your Turn: Classifying Sequences Recursive Form of a Geometric Sequence Example #1 Example #2 Your Turn: Explicit Form of a Geometric. Created by Ross Rueger. Worksheet E Day 6 Recursion. 7634 is the common logarithm of 58. Content filed under the Pre Writing Worksheets category. Understanding and solving problems with the formula for a finite geometric series If you're seeing this message, it means we're having trouble loading external resources on our website. Whether it is an arithmetic sequence or any arithmetic sum, the arithmetic sequence and sum will assist you all the time. Sequences of numbers that follow a pattern of multiplying a fixed number from one term to the next are called geometric sequences. If you don't see a paper design or category that you want, please take a moment to let us know what you are looking for. 14? How does leucosome differ from melanosome? Where have we seen similar terms. The quiz contains five multiple-choice questions and you. 62 mile 1 cup = 8 fluid ounces 1 meter = 39. If you like this Site about Solving Math Problems, please let Google know by clicking the +1 button. 3, 9, 27, 81, … 2. Precalculus Sequences & Series Test Practice Name_____ Sequence Formulas: a n = a 1 + d (n - 1) 1 1 n a a r n Series Formulas : 1 (1 ) 1 n n ar S r Determine if the sequence is arithmetic or geometric. Welcome to Mrs. Feel free to. Welcome to our 4th Grade Math Worksheets area. Conditional probability independent practice worksheet answers. Homework: [DOC] Chapter 1 Lesson 3 Worksheet ____. Kirschner 2 Given a point on a graph, we can name the coordinates for the point and the quadrant it is in:. 7m56 8m52, 8m53. The Root Test can be used on any series, but unfortunately will not always yield a conclusive answer as to whether a series will converge absolutely or diverge. Binomial and Geometric Worksheet Name _____ 1. What would the 20th term be in this sequence? Use the pattern below for questions 6 - 8. explore geometric sequences that model growth and decay In the previous lesson, you looked at several examples of geometric sequences. Start by browsing the selection below to get word problems, projects, and more. Sequences and Series IB Problems Worksheet 1. Compatible numbers are helpful to use because they divide without a remainder, are close to the actual numbers, and are easy to compute mentally. 43 Doc topic Sentence Worksheet By lembayung Posted on June 9, 2018 July 29, 2018 2 views. Given a term in a geometric sequence and the common ratio find the explicit formula. The student formulates equations and inequalities based on exponential and logarithmic functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. Today, class, we will be talking about sequences. The equation of the least squares regression line for the data is. Download this popular ebook and read the La Poule Qui Ne Pondait ebook. Carolyn added the multiples of 3, from 3 to 3750, and found that 3 + 6 + 9 + … + 3750 = s. MATH GRADE 10 LEARNER'S MODULE 1. But if for some reason lim x→∞ f(x). ©j V2C0t1 92N lK RuZt 7a8 3Swoqf3t Fwvayr PeK pLuLZCp. standard form of. The common ratio of a sequence is the common multiplier. Arithmetic and Geometric means, word problems. Given the explicit formula, write the recursive formula for the sequence. The sequence of partial sums diverges. c i uAOlAlD grDiygHhQt7sY Crge vske lr hvNeHdW. Title: Arithmetic series worksheet. Since this ratio is common to all consecutive pairs of terms, it is called the common ratio. Chapter 6 Sequences and Series of Real Numbers We often use sequences and series of numbers without thinking about it. Nair EXAMPLE 1. The fixed amount multiplied by is called the. Grade 5 Pattern, Sequence Worksheets. If the size of the dinosaur's tail in the model is 8 in, then find the actual length of dinosaur's tail. Write the first few terms to confirm this. Welcome to the worksheet section of iPracticeMath. Geometry and Finite Math X. What would the 20th term be in this sequence? Use the pattern below for questions 6 - 8. Search this site. Finding the nth term and the sum of a geometric sequence is like solving a puzzle. Arithmetic Sequence Worksheet #1. If students are not convinced of this, I do an example of erroneously using the arithmetic series formula on a geometric sum to show that it does not yield the correct answer. Any finite series has a sum, but an infinite geometric series may or may not have a sum. 10 Mathematics Department of Education Republic of the Philippines This book was collaboratively developed and reviewed by educators from public and private schools, colleges, and/or universities. In this lesson, we will learn geometry math problems that involves perimeter. Lesson Plan #4116. The graph below shows the exponential functions corresponding to these two geometric sequences. 6) A geometric series has a sum of 1365. An exponential function is obtained from a geometric sequence by replacing the counting integer n by the real variable x. The worksheet Recognizing Patterns in a Sequence (pg. Word analogies tests. 5 Geometric sequences 3. Number line - ordering integers Lesson 2. 1st grade math worksheets on addition (add one to other numbers, adding double digit numbers, addition with carrying etc), subtraction (subtraction word problems, subtraction of small numbers, subtracting double digits etc), numbers (number lines, ordering numbers, comparing numbers, ordinal numbers etc), telling time (A. Find the geometric sequence for its perimeter using each of the stages, and write an expression for the nth term. One of these series is geometric, one of the series is arithmetic and the other two are neither geometric nor arithmetic. The student formulates equations and inequalities based on exponential and logarithmic functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. Project Scheduling with Uncertain Activity Times (as in exercises 7, 8 and 9 in the handout). This unit introduces sequences and series, and gives some simple examples of each. The Root Test can be used on any series, but unfortunately will not always yield a conclusive answer as to whether a series will converge absolutely or diverge. Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. NOTES ON INFINITE SEQUENCES AND SERIES MIGUEL A. 4 Arithmetic series 3. 3 Worksheet. Geometry is everywhere! Lines, line segments, and points are all around. 2 Graph the. Z 9 1A6l Pll jr niTgChft ts p Crue Nse9rnvqe Odp. Identify a 1. A player needs 1000 points to complete level 2 and 20000 points to complete level 3. To find the common ratio, divide the second term by the first term. These number patterns are fairly easy to understand once the basic rule is explained. Learn vocabulary, terms, and more with flashcards, games, and other study tools. But many important sequences are not monotone—numerical methods, for in-. Create a table to determine the algebraic expression for this sequence. log 10 n = ? n. Determine , r, and n then apply formula) 41. Learn more. Answers 1) a) 406 b)-33 c) 126 d)-1855. 1 and t5 = 240. If you are looking for a formula to solve your basic math problems, your formula is likely here. Is this sequence arithmetic, geometric, or neither? Is it finite or infinite? b. z Worksheet by Kuta. What is the first number greater than 100 in the Fibonacci sequence? 3. The sequence is geometric: r= 1 3 5. Gas calculations involving PVT relationship and determining molecular mass of a volatile liquid are on the more advanced States of Matter - Gas Laws page. Geometry word problems involves geometric figures and angles described in words. Vold is a sadistic teacher who likes writing lots of exam questions. It has an answer key attached on the second page. previous term(s). Measuring Angles Worksheet Answer Key and Grading Rubric. Since , then by the theorem above, this. Tutorial for Advanced 2d Plotting¶. High School: Geometry » Introduction Print this page. 454 kilograms 1 quart = 2 pints. Tessellation Worksheet In this module, we will be exploring tessellations and try to explain why Honeybees always build combs using hexagons. Find the explicit and recursive formula for the sequence 7, 10, 13, 16,. Worksheets are Arithmetic sequences date period, Name date period arithmetic sequences series work, Arithmetic and geometric sequences work, Arithmetic sequences and series date period, Arithmetic sequence practice name, Arithmetic and geometric series work 1, Arithmetic sequences quiz review, Algebra 2. Free Graphic Organizer Templates Make full use of the color, line, foliage and cliparts to create stylish graphic organizers. Geometric sequence can be defined by a series where a fixed amount is multiplied to reach at each of the number of the series, starting from the first. Josephine Mandamin, an Anishinabe elder from Thunder Bay, Ontario, set out to walk around the Great Lakes to raise awareness about the quality of water in the lakes. Finite Geometric Series—is the sum of the finite geometric sequence. We think this tweak to the standard worksheet is a way to turn those boring questions into something more engaging. Standards Addressed: Algebra II - TEKS (11) Exponential and logarithmic functions. 3 GEOMETRY AND MEASUREMENT CLAST MATHEMATICS COMPETENCIES IB1: Round measurements to the nearest given unit of the measuring device used IB2a: Calculate distances. Find the 18th term of a geometric sequence with a first term of 5 and a common ratio of 3. Number Pattern Worksheets Based on Fibonacci Sequences These number patterns are fairly easy to understand once the basic rule is explained. IXL's dynamic math practice skills offer comprehensive coverage of Common Core high school standards. An in nite sequence of real numbers is an ordered unending list of real numbers. what is dilation or enlargement and reduction, Different types of Dilation Transformation with positive and negative scale factors and fractional scale factors, dilation on the coordinate plane, examples and step by step solutions. N 7 iA ilelH RrSi hg Bhtwsh Qrqe ysMeVrPv 3eZdO. Date:_____ Period:_____ ARITHMETIC SEQUENCES & SERIES WORKSHEET The value of the nth term of an arithmetic sequence is given by the formula a n = a 1 + (n - 1)d where a 1 is the first term in the sequence, n is the position of the term in the sequence, and d is the common difference. Solutions for the assessment 7. The common ratio of a sequence is the common multiplier. Give examples of finding the general term of arithmetic sequence. The numerical answer next to the problem is the answer that will be graded. Determine whether the series converges or diverges. Refer to TIPS4RM Grade 7 Unit 8 Day 4. If it is, find the common difference. Third revision: October 10, 2013. Z 4 iAElnla droiUgAhMt3s s Tr beFs 6e Frxv De7d 7. Math 211 Sets Practice Worksheet--Answers 4. Definition A sequence with general term an+1 = an r is called an geometric sequence. The key skill in this worksheet is to give them randomly-selected terms of an arithmetic or geometric sequence, and have them determine the general term for that sequence. 3:Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. In 2013, the number of students in a small school is 284. The summation variable starts at 4 so the first term is and the numerator and denominator increase by one for each term and finish at. DISCOVERING 3D SHAPES Mª ROSA GARCIA BLAZQUEZ CEIP RAMON LLULL (RUBI) 11 Worksheet 7 Look carefully at the 3D shapes (realia) from above, below, and in front. Worksheet E Day 6 Recursion. also called verbal analogies tests focus on seeing relationships between concepts and practicing this provides an excellent training for standardized tests like the SAT, the GRE, and other professional exams. Browse through the geometric sequence worksheets consist of exercises in finding the first term and common ratio appending the next few terms finding the general term of the geometric sequence word problems and more. explore geometric sequences that model growth and decay In the previous lesson, you looked at several examples of geometric sequences. Students can get plenty of practice with a number of exercises like finding arithmetic sequence, identifying the first term, common difference and number of terms; finding the next three terms of a sequence, recursive formula and much more!. Use the CREATE SEQUENCE statement to create a sequence, which is a database object from which multiple users may generate unique integers. Search this site. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km the third week and so on for a period of 10 weeks. Let x-2, x, x+3 be the first 3 terms of a geometric sequence. Problems involve work. It cannot be used for commercial purposes without the written consent of MathTV. Is this sequence arithmetic, geometric, or neither? Is it finite or infinite? b. P(n) is an infinite geometric sequence with a common ratio greater than 1. 5 Arithmetic with Surds Section 1 Expanding Expressions Involving Surds Fractional powers and the basic operations on them are introduced in worksheet 1. On his first quiz he scored 57 points, then he scores 61 and 65 on his next two quizzes. Should be a breeze, but if you have trouble check the bottom of this page. Leave all answers in simplified radical form. The first term of an infinite geometric sequence is 3, and the common ratio is. In this lesson, your students will learn about important aspects of geometry. Text; Kuta, · Software, · Tenth, · Worksheet, · Formula, · Introduction, · Sequences, · Infinite, · Algebra, · Explicit, Worksheet by Kuta Software LLC. If a sequence of values follows a pattern of multiplying each term by a fixed amount. 4 Geometric Sequences 1. Maxima and Minima Worksheet. IXL is the world's most popular subscription-based learning site for K–12. 8, r = −5 16) a1 = 1, r = 2 Given the first term and the common ratio of a geometric sequence find the recursive formula and the three terms in the sequence after the last one given. Say hello to a different functioning and operating style of handling sequence and sums of arithmetic problems and solutions as the installation of the arithmetic sequence and sums will make your mind easy. A manufacturing process produces, on the average, 3% defective items. 18) a1 = 2, r = -3. An infinite sum is the sum from k= 1 to ∞. practice b arithmetic sequences and series answers. 62 mile 1 cup = 8 fluid ounces 1 meter = 39. The equation of the least squares regression line for the data is. (see attached file) 7. Finding the sum of a given arithmetic sequence: 1. Sequences Type of sequence Common difference / ratio 1. This worksheet is a fun way for your students to practice writing explicit formulas for arithmetic and geometric sequences. f m PAjlclz rDiWgPh5t Ws6 Pr7eysweBrdv zeid G. ap calculus sequences and series worksheet 8 14 1 3 worksheet solutions Ab Chapter 1 Mr Pomerance. NOTES ON INFINITE SEQUENCES AND SERIES MIGUEL A. Sigma notation Sigma notation is a method used to write out a long sum in a concise way. Our Transformations Worksheets are free to download, easy to use, and very flexible. c i uAOlAlD grDiygHhQt7sY Crge vske lr hvNeHdW. A GeoGebra Tutorial The idea behind this tutorial is to introduce you quickly to the major capabilities of GeoGebra, and give you the tools to explore the details on your own. On my painted version of this art worksheet you can see I added some background and foreground. For this sequence y 0 = 40 and m = 0. Maxima and Minima Worksheet. Describe the curve on which the points lie. Venn Diagram Write details that tell how the subjects are different in the outer circles. Transformation worksheets contain skills on slides, flips, turns, translation, reflection and rotation of points and shapes. Investigating Patterns b. The lesson on the Distributive Property, explained how to multiply a monomial or a single term such as 7 by a binomial such as (4 + 9x). )The rst term is a,thenumberris called the ratio (note to get from. -2, -10, -50, 5. The three angles and the three sides must match. Lesson Notes In this lesson, students will use their knowledge of sequences developed in Lessons 1 and 2 to differentiate between arithmetic and geometric sequences. BODMAS WORKSHEET 1 Test 1 1 4 x 2 -3 2 5 + 2 x 7 3 2 + 3 x 2 4 4 x 3 + 5 5 11 - 3 x 2 6 3 x 5 + 2 x 4 7 12 ÷ 2 + 5 8 12 + 8 ÷ 4 9 20 - 16 ÷ 2 10 30 ÷ 2 - 18 ÷ 3. What is an arithmetic sequence? What is a geometric sequence? How do we find the nth term of an arithmetic or geometric sequence? How do we find the sum of the first nterms of an arithmetic or geometric sequence? How do we find the sum to infinity of a geometric sequence? How can we use arithmetic and geometric sequences to model real-world. Slide 12: I will allow students to attempt the deriving of a formula for a Geometric sequence, but the majority will not be able to. Our students are given the formulas for the nth term and the sum of the first n terms, but they are given no explanation for what each variable represents. b) Write the term-to-term rule for finding the next number in the sequence above. 3, 9, 27, 81, … 2. SEQUENCES & SERIES WORKSHEET. 0 O qMcapd9e9 owFi9t Bh9 AIgn 7fXiGnLi8tTeZ sAsl fg 2e4bRrsa C Y2i. Number Pattern Worksheets Based on Fibonacci Sequences These number patterns are fairly easy to understand once the basic rule is explained. Form a sequence that has two geometric means between 1 and 27. The sum of the series is 1419. Arithmetic Progression (AP) : • characterized by a common difference d dnth term T n =a+(n− 1), where a is the first term of the series Sum to nterms () 2 a l n S n = +, where ldenotes the last term of the series of nterms or [ ]a n d n S n 2 (1) 2. If geometric, identify common ratio. It cannot be used for commercial purposes without the written consent of MathTV. 13) a 3 = −36 , r = 6 14) a 6 Worksheet 50 - Geometric Sequences. If we multiply, it is a geometric sequence. This maze is a self-checking worksheet that allows students to strengthen their skills at finding unknown terms in arithmetic sequences when given the first 3 or 4 terms of the sequence. Learning sequence 15. pdf - Int 3 Ch 4. 4 Sequence and Series of Real Numbers M. 4 : Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. In this lesson, your students will learn about important aspects of geometry. Find the area of the shaded region of the figure below. Arithmetic Sequences. Name Estimate with Whole Numbers You can use compatible numbers to estimate a quotient. Arithmetic Sequence Problems Arithmetic Sequence Word Problems Worksheet Solving Arithmetic Sequence Problems Arithmetic Sequence Practice Problems Arithmetic Practice Word Problems Arithmetic and Geometric Word Problems How to Solve an Arithmetic Sequence Connect with Facebook See what your friends know. ©3 k230 U102x pKju Ht6aD ASSoNfkt XwMaGr4eV zL eLlCb. 2 Geometric Sequences and Series Notes Mrs. Quiz Review Worksheet D Day 5 Quiz. 9 Review ONLINE ONLY Pythagoras’ theorem toPiC 15 c15PythagorasTheorem. Harmonic sequence, in mathematics, a sequence of numbers a1, a2, a3,… such that their reciprocals 1/a1, 1/a2, 1/a3,… form an arithmetic sequence (numbers separated by a common difference). An in nite sequence of real numbers is an ordered unending list of real numbers. Give the terms of your expansion in alphabetical order. Throughout the lesson sequence, students make connections among pattern rules, pictorial and geometric patterns, graphs, context problems (story problems), and equations as a way of developing a deep foundational understanding of linear relationships. If the sign changes every other number it is probably because each number is multiplied by a negative number. X Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Finite Geometric Series Date_____ Period____. ©F F2u0t1 x3 8 yK suPtuaQ xSoGfxt 1wHatr De7 mL5LvCJ. • Diagrams are NOT accurately drawn, unless otherwise indicated. Refer to TIPS4RM Grade 7 Unit 8 Day 4. 4𝑛2+8𝑛+5 𝑛 3. SEQUENCE AND SERIES 149 9. video game form a geometric sequence, where an is the number of points needed to complete level n. Explain Find the sums of the geometric series. Sequences 1. The numerator is the same arithmetic sequence that we have encountered in Examples 1 & 4 that has a general term of a n = 3n - 1. The following sequences are either arithmetic sequences or geometric sequences. Specify a sequence of transformations that will carry a given figure onto another. Q c eA YlYl9 er Yijg nhHt AsE UrZeLsDekr 1vNeNd1. Take a look at our decimal place value sheets, our mental math sheets, or maybe some of our equivalent fraction worksheets.