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

Respuesta :

irspow

Answer:

Step-by-step explanation:

Since r=2 and |r|>1 the sum does not converge to any value. The sum does not exist for this infinite geometric series.

abidemiokin

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

Learn more on sum to infinity of a GP here: https://brainly.com/question/14570161

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