How do I find the sum of this series?

summation of (n+1)/3^n

when I used the first few n's I didn't see a pattern.

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- Jun 24th 2006, 08:54 PMNichelle14another sum of the series
How do I find the sum of this series?

summation of (n+1)/3^n

when I used the first few n's I didn't see a pattern. - Jun 24th 2006, 10:37 PMmalaygoelQuote:

Originally Posted by**Nichelle14**

Let

Find 3S

Find 3S-S

KeepSmiling

Malay - Jun 25th 2006, 04:43 PMNichelle14
Can you explain a little more? Still lost :confused:

- Jun 25th 2006, 09:13 PMSoroban
Hello, Nichelle14!

Quote:

How do I find the sum of this series? .

We are given: . .

Multiply by

Subtract: . . . .

After the first term, we have a geometric series with first term

. . common ratio , and whose sum is:

Hence, we have: .

Therefore: .