How to find the sum of the infinite geometric series

Posted By Admin @ September 04, 2022

Question:

Find the sum, if it exists, of the infinite geometric series related to the infinite geometric sequence described by An= 18(2)^n-1​

The sum to infinity of the sequence is -18

Sum to infinity of a geometric sequence

The formula for calculating the sum to infinity of a geometric sequence is expressed as:

Sinfty = a/1-r

where

a is the first term

r is the common ratio

From the nth term

a = 18

r = 2

Substitute

Sinfty = 18/1-2

Sinfty = -18

Hence the sum to infinity of the sequence is -18

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