Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. asubscriptn=3^n/4^n

Question

anonymous · Answer

I believe that is harmonic?

anonymous · Answer

I am working on the first section and we haven't reached that point yet. We only have the squeeze theorem and absolute value and bounded monotonic to choose from.

anonymous · Answer

hmmn, I just took calc II, and didn't learn those, let me refer to my notes and get back to you

anonymous · Answer

Thanks! Much appreciated.

anonymous · Answer

It can be written as (3/4)^n which makes it a geometric series. r=3/4 which is less than 1 and greater than -1, so it is convergent and its value is a/(1-r). So plugging things in, it converges at 4.

anonymous · Answer

okay Thank you :)