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Mathematics · 2020
JEE Main · 7 January 2020, Shift 1 · Q57
The greatest positive integer k, for which 49^k +1 is a factor of the sum 49^125+49^124+…+49^2+49+1, is:
The greatest positive integer k , for which $\displaystyle 49^{\mathrm{k}}+1$ is a factor of the sum
$\displaystyle 49^{125}+49^{124}+\ldots+49^2+49+1$, is :
Official answer
(2)
$\displaystyle 63$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.