The sum to infinite terms of the series ^ -1 ( 13 )+ ^ -1 ( 29 )+ ^ -1 ( 2^ n-1 1+2^ 2n-1 )+ is

MHT CET 2025 Mathematics question

The sum to infinite terms of the series is

Answer: (A)

Write the general term as a difference: , using (note and ). Check: gives

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Question ID VK-100775