summation series problem

nth term of a series can be written as ar= f(r) - f(r-1), then

Sn=\sum_{r=1}^{n}{a_{r}} =f(n) - f(0)

and S∞=Sn , then

Value of \sum_{r=1}^{infinity}{(4r-1)5^{r}/(r^{^{2}}+r)}
is??

6 Answers

341
Hari Shankar ·

\frac{(4r-1)5^r}{r^2+r} = \frac{5^{r+1}}{r+1} - \frac{5^{r}}{r}

But sum to infinite terms doesnt look finite to me

1
Athenes Analyst ·

Anyone try please!

21
Shubhodip ·

What do you mean?

1
Athenes Analyst ·

I mean even am getting Infinite series..... but there is some answer! So please solve!

1
Athenes Analyst ·

Sorry... @Hari ji I dint know you are a teacher!

1
Athenes Analyst ·

and I think the question is wrong!

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