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

Sum of infinite series:  1  +  (3/4)  +  ((3.5)/(4.8))  +  ((3.5.7)/(4.8.12))  +  ...    is ?

Sumofinfiniteseries:1+34+3.54.8+3.5.74.8.12+...is?

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

the general term is  t_n = (((2n−1)!)/(2^(3n−3) .{(n−1)!}^2 ))   the series becomes   Σ_(n=1) ^∞ (((2n−1)!)/(2^(3n−3) .{(n−1)!}^2 ))

thegeneraltermistn=(2n1)!23n3.{(n1)!}2theseriesbecomesn=1(2n1)!23n3.{(n1)!}2

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