If the sequence diverges, does it mean that the series also diverges?

Question

itz_sid · Answer

@zepdrix @518nad

apex · Answer

medal for medal?

itz_sid · Answer

@Apex no.

zepdrix · Answer

Yes, but more than that though.

If the sequence doesn't converge to 0, then the series diverges.

itz_sid · Answer

Oh okay I see. Thanks!

But I am doing reviewing integral tests to see if a series diverges/converges. Is there a specific time when i should be using the integral test? Or is just a method that can be used and will be instructed to do so?

zepdrix · Answer

My book says to use it when the function is easy to integrate, lol.

I'm looking at a solution manual and they didn't use it on a single problem -_- grr that's frustrating...

itz_sid · Answer

Haha it's okay. I can just ask my professor in person tomorrow.