JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The sum to infinite term of the series

1+\frac{2}{3}+\frac{6}{3^{2}}+\frac{10}{3^{3}}+\frac{14}{3^{4}}+\cdots

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Correct option: A

Option A (3) is correct because by using the method of difference and summing the resulting geometric series, the sum to infinity converges to 3.

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