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 ExamsProgression and Series

Let \[S_{n}=\sum_{k=1}^{4 n}(-1)^{\frac{k(k+1)}{2}} k^{2}\]Then Sn can take value(s).
  1. 1056
  2. 1088
  3. 1120
  4. 1332

Answer

(D) 1332

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