jee-main 2021 Q73

jee-main · India · session3_25jul_shift2 Sequences and Series Evaluation of a Finite or Infinite Sum
If $[ x ]$ be the greatest integer less than or equal to $x$, then $\sum _ { n = 8 } ^ { 100 } \left[ \frac { ( - 1 ) ^ { n } n } { 2 } \right]$ is equal to:
(1) 0
(2) 4
(3) - 2
(4) 2
If $[ x ]$ be the greatest integer less than or equal to $x$, then $\sum _ { n = 8 } ^ { 100 } \left[ \frac { ( - 1 ) ^ { n } n } { 2 } \right]$ is equal to:\\
(1) 0\\
(2) 4\\
(3) - 2\\
(4) 2