Determine whether the sequence converges or diverges. If it converges, give the limit.

48, 8, 4/3, 2/9 , ...

Question

Determine whether the sequence converges or diverges. If it converges, give the limit.

48, 8, 4/3, 2/9 , ...

shubhamsrg · Answer

if the common ratio <1 , then its converges
what is it in this cases ?

anonymous · Answer

@shubhamsrg don't we have to construct the form to get the limit?

shubhamsrg · Answer

well yes. I am just trying to make him understand first if it converges or not.

shubhamsrg · Answer

well it does converge since common ratio <1 i.e. common ratio = 1/6
by limit, am not very sure what it means, but probably it means finding the sum
sum for infinite GP = a/(!-r)

shubhamsrg · Answer

^_^

shubhamsrg · Answer

I have never studied convergent tests so I don;t have much idea about it.
I just said what I thought :|