- #1
greenandblue
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1. Homework Statement :
The following is a geometric series.
Determine whether series is converges or not.
For the series which converge, enter the sum of the series
[tex]\sum^{\infty}_{n=1}\frac{7^n+3^n}{8^n}[/tex]
2. The attempt at a solution:
I've looked into calculating [tex]{r}=\frac{a_{n+1}}{a_{n}}[/tex] but the series isn't constant and neither is r : [tex]\frac{10}{8}{+}\frac{58}{64}{+}\frac{185}{256}{+...}[/tex]
I feel like there is another approach to solving this problem that I am missing. Your help is appreciated, thanks.
The following is a geometric series.
Determine whether series is converges or not.
For the series which converge, enter the sum of the series
[tex]\sum^{\infty}_{n=1}\frac{7^n+3^n}{8^n}[/tex]
2. The attempt at a solution:
I've looked into calculating [tex]{r}=\frac{a_{n+1}}{a_{n}}[/tex] but the series isn't constant and neither is r : [tex]\frac{10}{8}{+}\frac{58}{64}{+}\frac{185}{256}{+...}[/tex]
I feel like there is another approach to solving this problem that I am missing. Your help is appreciated, thanks.