Question

Find sum of series:

$\mathrm{1.3.5}+\mathrm{3.5.7}+\mathrm{5.7.9.....}$ ?

• A. $S_n=\frac{(2n-1)(2n+1)(2n+3)(2n+5)}{8}+\frac{15}{8}$
• B. $S_n=\frac{(2n-1)(2n+1)(2n+3)(2n+5)}{18}+\frac{15}{18}$
• C. $S_n=\frac{(2n-1)(2n+1)(2n+3)(2n+5)}{20}+\frac{15}{8}$
• D. $S_n=\frac{(2n-1)(2n+1)(2n+3)(2n+5)}{6}+\frac{1}{8}$

Answer 1

The correct option is A $S_n=\frac{(2n-1)(2n+1)(2n+3)(2n+5)}{8}+\frac{15}{8}$