Concept explainers
a.
the salary during the sixth year of employment.
a.

Answer to Problem 69E
$40,000
Explanation of Solution
Concept Used:
The nth term of an arithmetic sequence with first term a1 and common difference d is given by:
an=a1+(n−1)d
Given problem represents an arithmetic sequence with first term a1=$32,500 and d=$1500 .
Now the nth term of this sequence is given by,
an=a1+(n−1)d=32500+(n−1)(1500)=32500+1500n−1500=31000+1500n
The salary during the sixth year of employment is the sixth term of this sequence.
a6=31000+1500(6)=31000+9000=40,000
Conclusion:
The salary during the sixth year of employment is$40,000.
b.
the total compensation from the company through six full years of employment.
b.

Answer to Problem 69E
$217,500
Explanation of Solution
Concept Used:
The sum of first n terms of an arithmetic sequence with first term a1 and last term an is given by:
Sn=n2(a1+an)
Given problem represents an arithmetic sequence with first term a1=$32,500 and d=$1500 .
The total compensation from the company through six full years of employment is the sum of first 6 terms of this sequence which is given by:
S6=62(a1+a6)=3(32,500+40,000)=3(72,500)=217,500
Conclusion:
The total compensation from the company through six full years of employment is $217,500 .
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
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