Mathematics · 2025
JEE Main · 28 January 2025, Shift 2 · Q6
For positive integers n, if 4 a_n=(n^2+5 n+6) and S_n=Σ_k=1^n(1/a_k), then the value of 507 S_2025 is:
For positive integers $\displaystyle n$, if $\displaystyle 4 a_n=\left(n^2+5 n+6\right)$ and $\displaystyle S_n=\sum_{k=1}^n\left(\frac{1}{a_k}\right)$, then the value of $\displaystyle 507 S_{2025}$ is :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 675$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.