Question

8. Find the sum of the infinite geometric sequence.
1 -1/5 + 1/25 - 1/125 . . .

Answer 1

\[\Large \sum_{n=0}^{\infty}\left( -\frac 15 \right)^n\]

Answer 2

= 5/4?

Answer 3

no, less then 1 ....
5/6

Answer 4

if it converges...
\[\Large\sum_{n=0}^{\infty}ar^n = {a \over 1-r}\]