All Questions
1
question
0
votes
1
answer
45
views
Formula for weighed geometric sum
I'm trying to find an easy way to derive a formula for:
$S_{n} = \frac{1}{n}\sum_{i=0}^{n}(n-i)x^{i}$
I've found a recurrence relationship of sorts:
$S_{n+1} = \frac{xnS_{n}+n+1}{n+1} = x\frac{n}{n+...
- 125