The sequence is .

The  term of the sequence is .

(a)

.

The principal is positive and the value of .

.

Therefore, the sequence is divergence.

(b) Find the first ten terms of the sequence.

The principle is .

The rate of interest is .

Substitute  and  in .

If  then .

If  then .

If  then .

If  then .

If  then .

If  then .

If  then .

If  then .

If  then .

If  then .

The first ten terms of the sequence are

.

(a) No;  is does not exist.

The sequence is divergence.

(b) .