Answer:
F.
Step-by-step explanation:
We are given a series
We can see that numerators are same
and denominators are
49 , 64 , 81 , .....
so,
7^2 , 8^2 , 9^2
We can write nth term
[tex]a_n=(n+7)^2[/tex]
so, we can write as
[tex]\sum _{n=0}^{\infty }\:\frac{1}{\left(n+7\right)^2}[/tex]
We can use p-series test
[tex]\frac{1}{n^p}[/tex]
we can compare
and we get
[tex]p=2>1[/tex]
So, this series is convergent
this is FALSE
