The sum $1+\frac{1}{2}\left({1}^{2}+{2}^{2}\right)+\frac{1}{3}\left({1}^{2}+{2}^{2}+{3}^{2}\right)+\ldots$ upto $10$ terms is equal to: [JEE Main 2026, 6 Apr (Shift 2)]

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The sum \(1+\frac{1}{2}\left({1}^{2}+{2}^{2}\right)+\frac{1}{3}\left({1}^{2}+{2}^{2}+{3}^{2}\right)+\ldots\) upto \(10\)…

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