- #1
lilypetals
- 12
- 0
Homework Statement
Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum.
[tex]\sum[/tex]n=1infinity (-3)n-1/4n
Homework Equations
A geometric series, [tex]\sum[/tex]n=1infinity arn-1=a + ar + ar2 + ... is convergent if |r|< 1 and its sum is [tex]\sum[/tex]n=1infinity arn-1 = a/(1-r), |r| < 1. If |r| [tex]\geq[/tex] to 1, the geometric series is divergent.
The Attempt at a Solution
I know that I need to rearrange the series to reflect arn-1, but I'm not sure how to go about doing that. Any suggestions?