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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 Increases A man gets a job with a salary of $ 30 , 000 a year. He is promised a $ 2300 raise each subsequent year. Find his total earnings for a 10 -year period.

To determine

To find:

Total earnings for a 10 year period.

Explanation

Given:

Starting salary $30,000

Yearly raise $2300

Approach:

Show that salary in subsequent years forms an arithmetic sequence and find the sum of first 10 terms of this sequence.

Calculation:

Yearly raise, d=$2300

Starting salary, a=$30,000

Number of years for which we need to compute total earnings, n=10

Salary in subsequent years forms the sequence:

30000,30000+2300,30000+2×2300,...

which is an arithmetic sequence with first term a and common difference d.

Hence the nth term is a+(n1)d which gives the salary in nth year

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