a.

The function is between the interval .

A sequence from  to with five arithmetic means will resemble .

Where and .

First, find the common difference using ,  and .

Now determine the arthemetic mean by adding the common difference.

Therefore, a sequence with three arithmetic means between and is .

b.

Find each term in the sequence formed when .

When :

When :

When :

When :

When :

When :

When :

Therefore, the sequence formed when is .

c.

Find each term in the sequence defined by .

Where the commom diffrence is .

When :

When :

When :

When :

When .

When

When .

Therefore, the sequence defined by is .

d.

The left hand approxomation of the area is given by .

e.

The left hand approxomation of the area is given by .

a.

A sequence with three arithmetic means between and is .

b.

The sequence formed when is .

c.

The sequence defined by is .

d.

The left hand approxomation of the area is given by .

e.

The right hand approxomation of the area is given by .