Given:

\displaystyle A_n = \frac{16^{n/2}}{2^{2n}}

Determine:

(a) whether\displaystyle \sum_{n=1}^\infty( A_n ) is convergent.

(b) whether\lbrace A_n \rbrace is convergent.

If convergent, enter the limit of convergence. If not, enter "DIV" (unquoted).

Determine:

(a) whether

(b) whether

If convergent, enter the limit of convergence. If not, enter "DIV" (unquoted).

In order to get credit for this problem all answers must be correct.