jee-advanced 2013 Q51

jee-advanced · India · paper1 Sequences and Series Evaluation of a Finite or Infinite Sum

Let $S _ { n } = \sum _ { k = 1 } ^ { 4 n } ( - 1 ) ^ { \frac { k ( k + 1 ) } { 2 } } k ^ { 2 }$. Then $S _ { n }$ can take value(s)
(A) 1056
(B) 1088
(C) 1120
(D) 1332

Let $S _ { n } = \sum _ { k = 1 } ^ { 4 n } ( - 1 ) ^ { \frac { k ( k + 1 ) } { 2 } } k ^ { 2 }$. Then $S _ { n }$ can take value(s)\\
(A) 1056\\
(B) 1088\\
(C) 1120\\
(D) 1332

Paper Questions

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