Question

Describe an infinite geometric series with a beginning value of 2 that converges to 10.

Answer 1

\[2+2r+2r^2+...=10\]
\[\frac{2}{1-r}=10\] solve for \(r\)

Answer 2

I got r = 4/5, I didn't know what to do after that though

Answer 3

i think there is nothing to do after that

Answer 4

\[\sum_{k=0}^{\infty}2\times \left(\frac{4}{5}\right)^k=10\]