4 3 Arithmetic And Geometric Sequences Worksheet

4 3 Arithmetic And Geometric Sequences Worksheet Sequences involving repeated addition or subtraction are known as Arithmetic Think of subtraction as adding a negative number and these can all be written as addition patterns 9 Go back and circle the problem numbers in the above sequences 1 8 which represent Arithmetic sequences 10 23 26 29 32

Given the first term and the common difference of an arithmetic sequence find the explicit formula and the three terms in the sequence after the last one given 45 a 35 20 46 a 22 9 47 a 34 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 17 19 Next 3 terms 24 144 864 Recursive a a 6 n 1 4 Next 3 terms 12 72 432 Recursive a a 6

4 3 Arithmetic And Geometric Sequences Worksheet

4 3 Arithmetic And Geometric Sequences Worksheet

4 3 Arithmetic And Geometric Sequences Worksheet
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Math Love Algebra 2 Unit 4 INB Pages Sequences And Series
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Basic Number Work Free Worksheets PowerPoints And Other Resources
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Comparing Arithmetic and Geometric Sequences Date Period For each sequence state if it is arithmetic geometric or neither Create your own worksheets like this one with Infinite Algebra 2 Free trial available at KutaSoftware Title Comparing Arithmetic and Geometric Sequences Arithmetic and geometric progressions mcTY apgp 2009 1 This unit introduces sequences and series and gives some simple examples of each It also explores particular types of sequence known as arithmetic progressions APs and geometric progressions GPs and the corresponding series In order to master the techniques explained here it is

Two common types of mathematical sequences are arithmetic sequences and geometric sequences An arithmetic sequence has a constant difference between each consecutive pair of terms This is similar to the linear functions that have the form y mx b y m x b A geometric sequence has a constant ratio between each pair of consecutive terms 7 3 11 7 4 Then d 4 That is the common di erence between the terms is 4 If we know the rst term in an arithmetic progression and the di erence between terms then we can work out the nth term i e we can work out what any term will be The formula which tells us what the nth term in an arithmetic progression is un a n 1 d

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Z q hMnaGdoez Ew RiVtoh M ZI Ln FfYi bn6i Ct uem BAnlngTe Obsr bak E2 j o Worksheet by Kuta Software LLC Find the missing term or terms in each geometric sequence 15 3 108 And 117 a 34 8 Find a and a 25 6 Given a term in an arithmetic sequence and the common difference find the term named in the problem the explicit formula and the recursive formula Evaluate the related series of each sequence Evaluate each arithmetic series described

Purplemath The two simplest sequences to work with are arithmetic and geometric sequences An arithmetic sequence goes from one term to the next by always adding or subtracting the same value For instance 2 5 8 11 14 is arithmetic because each step adds three and 7 3 1 5 is arithmetic because each step subtracts 4 An arithmetic series is one where each term is equal the one before it plus some number For example 5 10 15 20 Each term in this sequence equals the term before it with 5 added on In contrast a geometric sequence is one where each term equals the one before it multiplied by a certain value An example would be 3 6 12 24 48

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4 3 Arithmetic And Geometric Sequences Worksheet - Step 2 Halve the second difference to find a the coefficient of n 2 d2 2 a d 2 2 a Step 3 Subtract an 2 from the original sequence Step 4 If this produces a linear sequence find the n th term of it Step 5 Add the n th term for the linear sequence to an 2 to work out the n th term of the quadratic sequence