Question

what is the sum of this infinite geometric series? 2+ 2/5+2/25+2/125+.....

Answer 1

ratio =
(2/5)/2=1/5

Answer 2

\[\sum \frac{1}{5^k}=\frac{1}{1-\frac{1}{5}}\]

Answer 3

you have 4 term

Answer 4

get
\[2\times \frac{1}{1-\frac{1}{5}}=2\times \frac{1}{\frac{4}{5}}=2\times \frac{5}{4}=\frac{5}{2}\]

Answer 5

a. sideway 8 b.2.5 c.1.25 d.10 e.5

Answer 6

5/2 = 2.5 last time I checked.