Infinite series

[Prashant_123]

How do I sum the infinite series :
(I know the answer is 17/4350 but I want a proper solution)

 

[Deleted member 4993]

How do I sum the infinite series :
(I know the answer is 17/4350 but I want a proper solution)View attachment 17997

What would be the expression for the nth term of the series?

Does Factorial ring a bell?

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this assignment

 

[Prashant_123]

I tried it and the general term comes out to be :
[MATH] T[SUB]n+1[/SUB] = (74!(n+17)!)/(16!(n+76)!) [/MATH] I can't figure out how to sum it from 0 to infinity. It seems it's beyond what I have learnt upto now. Help me from here.