How to find the sum of the infinite geometric series 9+6+4+...?

ddioddefn5cw

ddioddefn5cw

Answered question

2023-02-18

How to find the sum of the infinite geometric series 9+6+4+...?

Answer & Explanation

Van Simon

Van Simon

Beginner2023-02-19Added 4 answers

Evidently, the sum is a G.P. with a multiplying factor r = 2 3
The equation to find the sum of an infinite G.P series with r < 1 is S = a 1 - r
a = 9 r = 2 3
S = 9 1 - 2 3 = 9 1 3 = 9 3 = 27

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