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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

Salary A teacher makes $ 32 , 000 in his first year at Lakeside School and gets a 5 % raise each year.

(a) Find a formula for his salary A n in his n th year at this school.

(b) List his salaries for his first 8 years at this school.

To determine

(a)

To find:

The salary in the nth year.

Explanation

Given:

The salary in first year is a1=32000

The salary is raised by 5% each year.

Approach:

As this sequence is geometric, its nth term is given by the formula

an=arn1

Calculation:

Now,

a2=32000+5%of32000=32000+1600=33600

and so on.

So,

a3=33600+5%of33600=33600+1680=35280

This gives,

To determine

(b)

To find:

The salaries for first 8years

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