How do you determine if #a_n=6+19+3+4/25+8/125+16/625+...+(2/5)^n+...# converge and find the sums when they exist?
1 Answer
Oct 22, 2017
See below.
Explanation:
From the fourth term on we have a geometric series.
The sum of this can be found using:
Where
So from 4th term to infinity we have:
Then we have:
And: