Which of the following gives the value of ?

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra

Problem

Which of the following gives the value of ∑k=1nk2\displaystyle\sum_{k=1}^{n} k^{2}? (a) n(n+1)(2n+1)3\dfrac{n(n+1)(2n+1)}{3} (b) [n(n+1)2]2\left[\dfrac{n(n+1)}{2}\right]^2 (c) n(n+1)(2n+1)6\dfrac{n(n+1)(2n+1)}{6} (d) n(n+1)2\dfrac{n(n+1)}{2}

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