Question

CONVERGENT AND DIVERGENT SERIES PLEASE HELP

Answer 1

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

$a_n=(n+7)^2$

so, we can write as

$\sum _{n=0}^{\infty }\:\frac{1}{\left(n+7\right)^2}$

We can use p-series test

$\frac{1}{n^p}$

we can compare

and we get

$p=2>1$

So, this series is convergent

this is FALSE