Question

Can somebody prove the formula for the sum of the first n terms of a geometric series?

Answer 1

Let the geometric series be
\[\large a_0, a_0r, a_0r^2, .... a_0 r^{n-1}\]
\(\large a_0\) is the first term
r is the common ratio
the sum of the series is given as
\[\Large S_n=a_0 \times (\frac{r^{n+1}-1}{r-1})\]

Answer 2

http://www.youtube.com/watch?v=xfzcUkcLXXA

Answer 3

I'm sorry, I thought you wanted the formula :(

Answer 4

@dta255