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Find the fifth term of the geometric sequence 6?, 2?, 2/3...

Find the fifth term of the geometric sequence 6?, 2?, 2/3...

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Answer #1

Given geometric series: 6, 2, 2/3..........

We know the geometric series will be of the form: a, ar, ar2, ar3, ar4, ar5..........

So, comparing both and we have

First term, a = 6,

Common ratio, r = ar/a = 2/6 = 1/3

So, we have to find the fifth term of the geometric sequence: a, ar, ar2, ar3, ar4, ar5..........

fifth term is = ar4

substituting the values of a and r, we get

6(1/3)4 = 6/81 = 2/27

Fifth term of the series is 2/27

The series looks like: 6?, 2?, 2/3, 2/9, 2/27, 2/81.........

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