Help with Infinite series

Moistwh

New member
Joined
Mar 16, 2019
Messages
10
I need to find if the following series converges or diverges
12122
But I can't get rid of the constant 5
Help
 

pka

Elite Member
Joined
Jan 29, 2005
Messages
8,128
I need to find if the following series converges or diverges
View attachment 12122
Use the ratio test.
\(\displaystyle \sum\limits_{k = 0}^\infty {\frac{{{2^{k + 1}} - 5}}{{{3^k}}}} = 2\sum\limits_{k = 0}^\infty {\frac{{{2^k}}}{{{3^k}}} - 5} \sum\limits_{k = 0}^\infty {\frac{1}{{{3^k}}}} \)
 

Moistwh

New member
Joined
Mar 16, 2019
Messages
10
Thank youu
 
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