Thread: sequences- covergent?

Originally Posted by genlovesmusic09

Is this a convergent sequence and if so, what does it converge to?


I have no idea how to beginning this...

What is the first term?



Graphing some terms for it looks like it converges to 2.

I wasn't given a first term which is why I am having I problem

but ?

It is easy to see that the series converges for any value of
if then the series converges to zero.

Now lets assume that then it follows that:



And



So you see that if then: .

Now what happens if ??

Hope that helps.