JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

The sum to infinity of the series

1+2\left(1-\frac{1}{n}\right)+3\left(1-\frac{1}{n}\right)^2+…..

, is

View answer and explanation

Correct option: A

n^2

Option A (

n^2

) is correct because it is the sum to infinity of the given series, derived by using the arithmetico-geometric progression formula.

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