Question

The athlete’s salary, in thousands, for the first two years is $400 and $400(1.05). The approximate salary, in thousands, earned each year for the first five years is $400, $420, $441, $463, and $486. Explain how you can evaluate the fifth partial sum. What does the fifth partial sum represent?

Answer 1

Add the five terms.

Use the formula for the fifth partial sum.

The fifth partial sum represents the total amount of money the athlete earns over the first five years.

Explanation:

Add the five terms.

Use the formula for the fifth partial sum.

The fifth partial sum represents the total amount of money the athlete earns over the first five years.

Answer 2

Answer: The fifth partial sum = 2210

The fifth partial sum represent the sum of the first 5 terms in the sequence.

Explanation:

We know that he partial sum of a sequence gives the sum of the first n terms in the sequence.

Thus, the fifth partial sum represent the sum of the first 5 terms in the sequence.

The given geometric sequence : $400, $420, $441, $463, and $486.

Now, the fifth partial sum of the above sequence will be :

`S_5=\$400+ \$420+ \$441+ \$463+\$486=\$2210`