Question

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

48, 12, 3, 3/4, ...

Answer 1

divides by 4..?
converges

Answer 2

to what?

Answer 3

it either coverges by 64, -4080 or 0

Answer 4

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

Answer 5

would it be 0

Answer 6

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

Answer 7

Yes, it is 0.

Answer 8

thanks!