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1/(1*2*3)+3/(2*3*4)+5/(3*4*5)+.........

`1/(1*2*3)+3/(2*3*4)+5/(3*4*5)+......`

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1+ (1) / (2) (. 3) / (5) (1.3) / (2.4) ((3) / (5)) ^ (2) + (1.3.5) / (2.4.6) ( (3) / (5)) ^ (3) + ........ oo =

1/(1.2)+(1.3)/(1.2.3.4)+(1.3.5)/(1.2.3.4.5.6)+.....oo

Show that 1 + 1/2.3/5 + (1.3)/(2.4) (3/5)^2 + (1.3.5)/(2.4.6) (3/5)^3 + …… = sqrt([5/2])

Show that 1 + 1/2.(3/5) + (1.3)/(2.4) (3/5)^2 + (1.3.5)/(2.4.6) (3/5)^3 + …… = sqrt([5/2])

(1) / (1.2) + (1.3) / (1.2.3.4) + (1.3.5) / (1.2.3.4.5.6) + .... oo

Prove that 1^3/(1!)+2^3/(2!)+3^3/(3!)+4^3/(4!)+.....=5e

(1)/(5)+(1)/(2.5^(2))+(1)/(3.5^(3))+(1)/(4.5^(4))+.......=