They are mixed in together and include a table with ten cells to fill out by noting whether a sequence is arithmetic or geometric and determining what the common ratio or difference is for eac. Arithmetic and geometric sequences answer key worksheets. Determine whether the sequence is arithmetic, geometric. For each of the following progressions, determine whether it is arithmetic, geometric, or neither. Scott hendrickson, joleigh honey, barbara kuehl, travis lemon, janet sutorius. Arithmetic and geometric sequences worksheets for 7th grade, 8th grade and high school. L g 7mkapd lew vw0iftdhl zi 3nef eionji it meo kazlkgvefb7r 1a 5 b2w. So you can conclude that this booklet you are perusing is a compilation of ten years of supplemental writing. Some sequences are neither arithmetic nor geometric. What are the formulas for arithmetic and geometric sequences. Geometric sequences worksheet determine whether each of the following sequences is arithmetic, geometric, or neither. Solving linear equations worksheet pdf awesome 25 best ideas about. Determine whether each sequence is arithmetic, geometric, or neither.
For each sequence, state if it is arithmetic, geometric, or neither. Topic describing arithmetic and geometric sequences. In this arithmetic and geometric sequences worksheet, 11th graders solve and complete 34 various types of problems. Fundamentals of mathematics i sequences worksheet answers a. A sequence is a list of numbers or objects, called terms, in a certain order.
Arithmetic and geometric sequence practice answer key. Study guide and intervention geometric sequences as exponential functions example 1 determine whether the sequence is arithmetic, geometric, or neither. Determine what type of sequence the following are and then complete the problem. A sequence is a series of numbers that follow a fixed pattern. Recursive and explicit equations for arithmetic and geometric sequences.
After that they will then determine the common difference for arithmetic sequences or the common ratio for geometric sequences. If the pattern uses multiplication and division then it is geometric. This comparing arithmetic and geometric sequences worksheet is suitable for 9th 11th grade. Q u2 t0m1 d33 bkbu ptza 1 ps8o7f ytfw taar6ew alylgc c. V 52 e0t1 v1b jk kuztfa x vs po 9fnt 9wpacraen elalmcy. Section 1 arithmetic progression an arithmetic progression is a list of numbers where the di erence between successive numbers is constant. Comparing arithmetic and geometric sequences kuta software. Recursive and explicit equations for arithmetic and geometric sequences f. Arithmetic and geometric sequences worksheet arithmetic sequence is a sequence of terms that have a common between them.
This activity requires students to determine if a given sequence is arithmetic, geometric, or neither they will use colors to do this. For each exercise or problem below use the given information to determine which of the. Given the first term and the common ratio of a geometric sequence find the first five terms and the explicit formula arithmetic and geometric sequence practice answer key. In contrast, a geometric sequence is one where each term equals the one before it multiplied by a certain value. Classify each sequence as arithmetic, geometric, or neither. This post will short, simple, and to the point because thats all my wedding planning frazzled mind can handle. Are the following sequences arithmetic geometric or neither. I would of gotten a 100 had i not second guessed myself.
There is no common difference, so the sequence is not arithmetic. Plan your 60minute lesson in exponential function or math with helpful tips from kelli ireton. Understanding arithmetic and geometric sequences answer. First, they find the described term in each sequence. What is the distance from one number to the next in a sequence of numbers that is represented by a d in an arithmetic sequence. K r mmna2d xen owmict phd qivngfsibnlirtse z qa2l ngje rb vr3ag g20. L q ymqa 2d re7 mwiidtwh9 ziknvfei vnli rt cer taxlsgbebbarsa m j2 b. Worksheets are comparing arithmetic and geometric sequences, concept 16 arithmetic geometric sequences, arithmetic and geometric sequences work, arithmetic and geometric series work 1, geometric sequence 9nkkzr, work 3 6 arithmetic and geometric progressions. This worksheet is solely about the explicit form of sequences for both arithmetic and geometric sequences. Common ratio is the number that is multiplied by each term to get the next term in a geometric series. Some of the problems 22 30 could represent the work you did to answer. Worksheet 3 6 arithmetic and geometric progressions. This arithmetic and geometric sequences card sort activity will strengthen your students skills at determining if a given sequence is arithmetic, geometric, or neither. Scott has decided to add pushups to his daily exercise routine.
Comparing arithmetic and geometric sequences worksheet for. This activity requires students to determine if a given sequence is. Determine whether each of the following sequences is arithmetic, geometric, or neither. Other results for 11 2 study guide and intervention arithmetic sequences and series answers. Chapter 6 sequences and series in this unit, we will identify an arithmetic or geometric sequence and find the formula for its nth term determine the common difference in an arithmetic sequence determine the common ratio in a geometric sequence. Arithmetic and geometric sequence word problems arithmetic. Which formula is used to find the explicit equation for arithmetic sequences. Displaying all worksheets related to arithmetic and geometric sequences answer key.
On his first quiz he scored 57 points, then he scores 61 and 65 on his next two quizzes. Representation arithmetic or geometric common difference or ratio. Create a sequence that is neither geometric nor arithmetic. Every integer greater than 1 either is a prime number or can be uniquely expressed as a product of. Detailed illustrated directions are included in as well as the answer keys. Arithmetic and geometric sequences mathematics vision project. Write a description of the sequence, and identify the common difference or common ratio. Once way to determine this if not immediately obvious is to divide the second term by the first term. In this algebra worksheet, students analyze patterns and identify it as arithmetic, geometric, or neither. Explain where you found the numbers you are putting in the formula. Arithmetic sequence worksheet with answers 50 arithmetic sequence worksheet with answers, 9 best of arithmetic recursive and explicit.
See our guide on how to change browser print settings to customize headers and footers before printing. Sequences and series arithmetic and geometric room 229. Sequences and series quiz questions and answers pdf, geometric mean, relation bw a. Are the following sequences arithmetic, geometric, or neither. If it is an if it is an arithmetic or geometric sequence, determine a formula to represent the sequence. Z q hmnagdoez ew rivtoh m zi ln ffyi bn6i ct uem banlngte obsr bak e2 j.
Arithmetic sequences and series reference sheets arithmetic sequences and series. An example would be 3, 6, 12, 24, 48, each term is equal to the prior one multiplied by 2. Worksheets are comparing arithmetic and geometric sequences, concept 16 arithmetic geometric sequences, arithmetic and geometric sequences work, arithmetic and geometric series work 1, geometric sequence 9nkkzr, work 3 6 arithmetic and geometric. Find the first four terms and state whether the sequence is arithmetic, geometric, or neither. The first thing i have to do is figure out which type of sequence this is. Click here to save or print this answer key as a pdf. Arithmetic and geometric sequences algebra 1 worksheets. Determine whether the sequence is arithmetic, geometric, or neither.
Formulas for the nth terms of arithmetic and geometric sequences for an arithmetic sequence, a formula for thenth term of the sequence is a n 5 a 1 n 2 1. What are the first four terms of an arithmetic sequence if the common difference is 1. An arithmetic sequence is a sequence in which each term of the sequence is obtained by adding a. Z q2j0e1 r2v qkdu6t yax vs8oofotdwua ir rey xlal2c 6. Since the first two terms are and, we look at what is multiplied between these. Improve your math knowledge with free questions in identify arithmetic and geometric sequences and thousands of other math skills. State whether the sequence is arithmetic, geometric, or neither.
Stations differentiated expressions, equations, inequalities w answer keys. Given the first term and the common ratio of a geometric sequence find the explicit formula and the three terms in the sequence after the last one given. An arithmetic sequence is a sequence with the difference between two consecutive. The terms in an arithmetic progression are usually denoted as u1. Tell whether the sequence is arithmetic, geometric, or neither. Arithmetic and geometric sequences practice homework for each sequence, pattern, table, or story below identify whether it is arithmetic or geometric, find the common difference or common ratio, write an explicit formula, then use your formulas to find the given term. Arithmetic and geometric sequences worksheet teachers. The worksheets i developed were for certain days when i could find no resources on hand for what i wanted the students to master. Arithmetic and geometric sequences practice homework. If his scores continued to increase at the same rate, what will be his score on his 9th quiz. G f na bl 4l y nruipgchit 9s q brle ys8emrpvyehd o.
These worksheets found their way into this book as well. Sequences sort arithmetic, geometric, or neither by joan kessler. E v sa ql hlm ar ciigmh5tks i pr zenshe0r jv8e2d z. Ixl identify arithmetic and geometric sequences algebra. Important informationthis activity is intended for an algebra 1 or high school geometry. Determine whether each sequence is arithmetic or geometric.