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Arithmetic Arithmetic Sequences Sequences webtech.cherokee.k12.ga.us/sequoyah-hs/ webtech.cherokee.k12.ga.us/sequoyah-hs/ math/11.2%20 math/11.2%20 Arithmetic Arithmetic %20 %20 Sequences Sequences %20&%20Series. %20&%20Series. ppt ppt

Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

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Page 1: Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

Arithmetic Arithmetic SequencesSequences

webtech.cherokee.k12.ga.us/sequoyah-hs/webtech.cherokee.k12.ga.us/sequoyah-hs/math/11.2%20math/11.2%20ArithmeticArithmetic%20%20SequencesSequences%20&%20Series.%20&%20Series.pptppt

Page 2: Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

Review

Find the common difference for this arithmetic sequence                  5, 9, 13, 17 ...

Page 3: Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

Rule for an Arithmetic SequenceRule for an Arithmetic Sequence

A(n)=aA(n)=a11+(n-1)d+(n-1)d

Page 4: Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

ExampleExample:: Write a rule for the nth term Write a rule for the nth term of the sequence 32,47,62,77,… . Then, of the sequence 32,47,62,77,… . Then, find afind a1212..

Page 5: Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

 Find a formula for the sequence                    1, 3, 5, 7, ... 

Page 6: Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

Find the 25th term of the sequence                 -7, -4, -1, 2, ...

Page 7: Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

What is the fiftieth term of the arithmetic sequence 3, 7, 11, 15, ... ?

Page 8: Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

ExampleExample: One term of an arithmetic sequence is : One term of an arithmetic sequence is aa88=50. The common difference is 0.25. Write a =50. The common difference is 0.25. Write a

rule for the nth term.rule for the nth term.

Page 9: Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

The first term of an arithmetic sequence is 4 and the tenth term is 67. What is the common difference?

Page 10: Arithmetic Sequences webtech.cherokee.k12.ga.us/sequoyah- hs/math/11.2%20Arithmetic%20Sequen ces%20&%20Series.ppt

Given a term in an arithmetic sequence and the common difference find the formula. a37 = 249, d = 8

a12 = 28.6, d = 1.8