(a)

Numerical:

The sequence is .

Find the first five terms.

Substitute in the above sequence.

At , then .

At , then .

At , then .

At , then .

At , then .

First five terms of infinte sequence are , , , and .

(b)

The sequence is .

Graphical:

Graph the function :

(c)

Verbal:

The sequence is .

Apply limits at .

.

The sequence is tends to zero as .

(d)

Numarical:

The sequence is

First five terms of infinte sequence are , , , and

Similarly, , , , .

Sum of first five terms is

Sum of first seven terms is

Sum of first nine terms is

Sum of the term is  , terms is and terms is .

(e)

Verbal:

Sum of partial is increasing as increases.

Therefore, sum of partial: .

Sum of partial is .

(f)

Verbal:

The sum of the first terms is upto times.

The sum of the five numbers has fours, and

The sum of the seven numbers has fours,

The sum of the nine numbers has fours

Similarly, the sum of terms has a decimal numbers with fours.

(a) First five terms of infinte sequence are , , , and

(b)

Graphical:

Graph of the function is

(c) The sequence is tends to zero as .

(d) Sum of the term is  , terms is and terms is .

(e) Sum of partial is .

(f) The sum of terms has a decimal numbers with fours.