Answers Precalculus Arithmetic Series — Unit testQuestion 15

15

QuizMultiple Choice

Arithmetic Series — Unit test

Question 15 • Precalculus

Madyson borrows $1,200 from her father to purchase airplane tickets. The first week after borrowing the money, Madyson repays her father $50. Each week after that, she is able to repay her father $2 more than the previous week, except in the last week, when she finishes repaying the loan. How much is Madyson’s final payment?

Answer

A

$78

B

$82

C

$84

D

$88

Explanation

The weekly payments form a sequence starting at $50 and increasing by $2: $50, $52, $54, and so on. The first 17 payments total $1,122, so $1,200 − $1,122 = $78 remains for the final week. Therefore, her final payment is $78, choice A.

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