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MathsJEE Main 2 Apr 2026, Shift 1·Q22·Numerical·Easy–moderate

Sequences & Series · General term from partial sums

If ∑k=1nak=6n3\displaystyle\sum_{k=1}^{n} a_k = 6n^3, then ∑k=16(ak+1−ak36)2\displaystyle\sum_{k=1}^{6}\left(\frac{a_{k+1} - a_k}{36}\right)^2 is equal to .

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