Question

Identify whether the series summation of 12 open parentheses 3 over 5 close parentheses to the I minus 1 power from 1 to infinity is a convergent or divergent geometric series and find the sum, if possible

Answer 1

This is a convergent geometric series. The sum cannot be found.
This is a convergent geometric series. The sum is 30.
This is a divergent geometric series. The sum cannot be found.
This is a divergent geometric series. The sum is 30.

Answer 2

@mathmate

Answer 3

Have you done the convergence of series?

Answer 4

@dhiraj123
In any case, this is a geometric series, meaning that it is in the form
\(Sn=a1(1-r^n)/(1-r)\)
as you have indicated earlier.
If r<1, the series is convergent.
if r\(\ge\)1, the series is divergent.
Can you find a1, r and n for your problem?

Answer 5

@savanahdawson please pm me