How do you find the next two terms of the geometric sequence #162, 108, 72, ...#?

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How do you find the next two terms of the geometric sequence #162, 108, 72, ...#?

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Answer 1 · 2016-12-23T19:55:25

#a=162,108,72,48,32...#

Explanation:

In order to find the #n^"th"# term of a geometric sequence, we use the following formula: #a_n=ra_(n-1)# where #r# is the common ratio between each term. In order to find #r#, we divide one term by the term that came before it.

#r=108/162=2/3#

#a_4=2/3xx72=48#

#a_5=2/3xx48=32#

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How do you find the next two terms of the geometric sequence #162, 108, 72, ...#?

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