## anonymous 3 years ago Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 12, 3, 3/4, ...

1. anonymous

divides by 4..? converges

2. TuringTest

to what?

3. anonymous

it either coverges by 64, -4080 or 0

4. TuringTest

given the choices, and the fact that the numbers are getting divided each time, which do you think it is?

5. anonymous

would it be 0

6. anonymous

Your sequence is $\left\{48\left(\frac{1}{4}\right)^k\right\}$ To find the value that the sequence converges to, find $\lim_{k\to\infty}48\left(\frac{1}{4}\right)^k$

7. anonymous

Yes, it is 0.

8. anonymous

thanks!