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Mathematics · 2026

JEE Main · 2 April 2026, Shift 1 · Q22

If Σ_k =1^n a_k =6 n^3, then Σ_k =1^6((a_k +1 - a_k)/36)^2 is equal to ____.

If $\displaystyle \sum_{\mathrm{k}=1}^{\mathrm{n}} \mathrm{a}_{\mathrm{k}}=6 \mathrm{n}^3$, then $\displaystyle \sum_{\mathrm{k}=1}^6\left(\frac{\mathrm{a}_{\mathrm{k}+1}-\mathrm{a}_{\mathrm{k}}}{36}\right)^2$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.