Sunday, July 31, 2016

sequences and series - Evaluate the Sum S=frac14+frac1.34.6+frac1.3.54.6.8+cdotsinfty

Evaluate the Sum




S=14+1.34.6+1.3.54.6.8+





My try: We have the n th term as



Tn=1.3.5.(2n1)4.6.8(2n+2)



Tn=1.3.5.(2n1)2n×(n+1)!



Tn=(2n)!4n×n!×(n+1)!




Tn=(2nn1)n×4n



Any clue here?

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