JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

The greatest positive integer k, for which

{49^k} + 1

is a factor of the sum

{49^{125}} + {49^{124}} + ... + {49^2} + 49 + 1

View answer and explanation

Correct option: B

Option B (63) is correct because by factoring the sum as a difference of squares, we identify

{49^{63}} + 1

as a factor, making k = 63.

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