jee-main 2022 Q62

jee-main · India · session2_25jul_shift2 Sequences and Series Evaluation of a Finite or Infinite Sum

The sum $\sum_{n=1}^{21} \frac{3}{(4n-1)(4n+3)}$ is equal to
(1) $\frac{7}{87}$
(2) $\frac{7}{29}$
(3) $\frac{14}{87}$
(4) $\frac{21}{29}$

The sum $\sum_{n=1}^{21} \frac{3}{(4n-1)(4n+3)}$ is equal to\\
(1) $\frac{7}{87}$\\
(2) $\frac{7}{29}$\\
(3) $\frac{14}{87}$\\
(4) $\frac{21}{29}$