(a)

Step 1:

The sequence is .

Find first five terms.

First term of the sequence .

Second term of the sequence .

Third term of the sequence .

Fourth term of the sequence .

Fifth term of the sequence .

Solution:

The first five terms of the sequence are , , , , .

(b)

Step 1:

The sequence is .

Find first five terms.

First term of the sequence .

Second term of the sequence .

Third term of the sequence .

Fourth term of the sequence .

Fifth term of the sequence .

Solution:

The first five terms of the sequence , , , , .

(2)

The sequence is .

Let the sequence is . \ \

A sequence is convergent, then there exist , where is a constant.

As , then .

.

.

The sequence converges to .

Solution:

The sequence converges to .