Let S_ n = _ k=1 ^ 4 n (-1)^ k(k+1) 2 k^ 2 Then S n can take value(s).
Mathematics · JEE Advanced · NTA Exams — Progression and Series
Let \[S_{n}=\sum_{k=1}^{4 n}(-1)^{\frac{k(k+1)}{2}} k^{2}\]Then Sn can take value(s).
- 1056
- 1088
- 1120
- 1332
Answer
(D) 1332
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