Sum-of-infinite-series-1-3-4-3-5-4-8-3-5-7-4-8-12-is-

Question Number 92008 by I want to learn more last updated on 04/May/20

Sum of infinite series : 1 + \frac{3}{4} + \frac{3.5}{4.8} + \frac{3.5.7}{4.8.12} + \dots is ?

Commented by Prithwish Sen 1 last updated on 04/May/20

the general term is

t_{n} = \frac{(2 n - 1)!}{2^{3 n - 3} . {(n - 1)!}^{2}}

the series becomes

\underset{n = 1}{\sum^{\infty}} \frac{(2 n - 1)!}{2^{3 n - 3} . {(n - 1)!}^{2}}