# Help with Infinite series

#### Moistwh

##### New member
I need to find if the following series converges or diverges

But I can't get rid of the constant 5
Help

#### pka

##### Elite Member
I need to find if the following series converges or diverges
View attachment 12122
Use the ratio test.
$$\displaystyle \sum\limits_{k = 0}^\infty {\frac{{{2^{k + 1}} - 5}}{{{3^k}}}} = 2\sum\limits_{k = 0}^\infty {\frac{{{2^k}}}{{{3^k}}} - 5} \sum\limits_{k = 0}^\infty {\frac{1}{{{3^k}}}}$$

Thank youu