Question

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

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

Answer 1

Converges;288/5
Converges; 0
Diverges
Converges; -12432

Answer 2

Looking at the choices, you can probably figure it out without doing any computation. However, as a hint, you should try writing each number in exponent form and see if you can find the pattern. But again, without doing anything at all, it's kind of obvious that it is approaching a certain number. Ask yourself if the numbers are getting bigger or smaller and then take it from there.