Question

Please help

Find the sum of the given infinite geometric series

Answer 1

A)
`33.66`

Explanation:

The sum of an infinite geometric series in the form of
`\displaystyle \sum_(n=0)^\infty ar^n` is equivalent to
`\displaystyle S_(\infty)=(a_1)/(1-r)` where
`r` is the common ratio and
`a_1` is the first term.

Hence,
`\displaystyle S_(\infty)=(a_1)/(1-r)=(34)/(1-(-0.01))=(34)/(1.01)\approx33.66`