Question

CONVERGENT AND DIVERGENT SERIES PLEASE HELP

Answer 1

F.

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 )\:(1)/(\left(n+7\right)^2)`

We can use p-series test

`(1)/(n^p)`

we can compare

and we get

`p=2>1`

So, this series is convergent

this is FALSE