SOLUTION: Mary's annual salaries form an aritnmetic sequence. She earned $17,400 during her third year and $21,000 during her sixth year.
a. Find her starting salary.
b. Find her annual
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-> SOLUTION: Mary's annual salaries form an aritnmetic sequence. She earned $17,400 during her third year and $21,000 during her sixth year.
a. Find her starting salary.
b. Find her annual
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Question 80963This question is from textbook
: Mary's annual salaries form an aritnmetic sequence. She earned $17,400 during her third year and $21,000 during her sixth year.
a. Find her starting salary.
b. Find her annual salary increases. This question is from textbook
You can put this solution on YOUR website! Mary's annual salaries form an aritnmetic sequence. She earned $17,400 during her third year and $21,000 during her sixth year.
a. Find her starting salary.
Since it is an aritmetic sequence the nth term = 1st term + (n-1)d
a(n)=a(1)+(n-2)d
The 3rd term is a(3)=a(1)+2d=17,400
The 6th term is a(6)=a(1)+5d=21000
You need to find a(1):
Subtract the 3rd term form from the 6th term form to get:
3d=3600
d=1200
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Substitute in the form a(1)+2d=17400 to find a(1)
a(1)+2(1200)=17400
a(1) = $15,000 (This is Mary's salary the 1st year.)
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b. Find her annual salary increases.
"d" tells you the annual salary increase.
d= $1,200
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Cheers,
Stan H.
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