Let S=1/25!+1/(3! 23!)+1/(5! 21!)+… up to 13 terms. If 13S=2^k/n!… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 1Sum of Series

Let $S=\frac{1}{25!}+\frac{1}{3!\,23!}+\frac{1}{5!\,21!}+\cdots$ up to $13$ terms. If $13S=\dfrac{2^k}{n!}$ , $k\in\mathbb{N}$ , then $n+k$ is equal to

A
$52$
B
$51$
C
$49$
D
$50$

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