Question

evaluate each infinite geometric series described

Answer 1

if \(|r|<1\) it is
\[\frac{a}{1-r}\] where \(a\) is the first term and \(r\) is the common ratio

Answer 2

\[\sum_{i=1}^{\infty} 1250 \times (-\frac {1 }{ 5 }) ^{i-1}\]

Answer 3

same as
\[1250\times \sum_{i=1}^{\infty}\left(-\frac{1}{5}\right)^{i-1}\]

Answer 4

put \(a=1, r=-\frac{1}{5}\) then compute
\[\frac{a}{1-r}=\frac{1}{1+\frac{1}{5}}\] then multiply the result by \(1250\)

Answer 5

Was I supposed to get a fraction as my answer?