Question

What test would I use to check for convergence/divergence? I'm thinking the nth term test?

arctan(n)
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n^(7/2)

Answer 1

If the value is greater than 1, it's divergent, when it's less than 1 it is convergent

Answer 2

P-series?

Answer 3

R

Answer 4

R? As in "Right"?

Answer 5

This is a geometric series? How do you know?

Answer 6

Well, a geometric series presents itself like

Answer 7

"R" is -3

Answer 8

-3 is less than 1, so this is an infinite divergent geometric series

Answer 9

I'm so sorry I made a mistake

Answer 10

Ok, so

Answer 11

If the absolute value of "R" is greater than 1 it is divergent. I forgot to put absolute value

Answer 12

Is there a website that has more info on this?

Answer 13

I will try to find one for you :)

Answer 14

See if this helps you, http://tutorial.math.lamar.edu/Classes/CalcII/AlternatingSeries.aspx
I will continue to look

Answer 15

@hedyeh99 What is the name of the test you used?

Answer 16

The link? It's Alternating Series Test.

Answer 17

Did this help you?

Answer 18

is it because of arctan that you know it's an alternating series?

Answer 19

No, I just guessed because you said convergence and divergence