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




`48, 8, (4)/(3) , (2)/(9) , ...`

Answer 1

This is a geometric progression, with ratio
`(1)/(6)`. The terms will get smaller and smaller, but will remain strictly positive. It does converge to 0.