JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

Let

S_n=\sum\limits_{k=1}^{4 n}(-1)^{\frac{k(k+1)}{2}} k^2

. Then,

S_n

can take the value

(s)

View answer and explanation

Correct option: A

1056 and 1332

Option A (1056 and 1332) is correct because these values can be obtained by substituting integer values of n into the derived formula for

S_n

, which is

4n(4n+1)

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