Question

Find the sum of the following infinite geometric series, if it exists.
2/5+12/25+ 72/125...

Answer 1

each time multiplied by 6/5

the common ratio is 6/5

since |6/5|>1, the series does not converge to a single number and the sum approaches positive infinity

there is no real number that the sum of this series approaches

Answer 2

each time multiplied by 6/5
the common ratio is 6/5
since |6/5|>1, the series does not converge to a single number and the sum approaches positive infinity


there is no real number that the sum of this series approaches