17
QuizMultiple Choice

Arithmetic Series — Quiz

Question 17 • Precalculus

Dreya is saving money to purchase a 900 dollars computer, and she saves 10 dollars the first week. Each week after that, she saves 3 dollars more than the previous week, except in the last week, when she reaches 900 dollars To have a final sum of exactly 900 dollars , how much money does Dreya need to save in her final week of saving?

Answer
A
60 dollars
B
73 dollars
C
13 dollars
D
70 dollars

Explanation

For the first 21 weeks, Dreya saves $10, $13, and so on, increasing by $3 each week. The 21st amount is $70, so those 21 weeks total (21 ÷ 2) × ($10 + $70) = $840. She needs $900 − $840 = $60 in her final week; the usual next amount of $73 would take her over her goal.

AI-written and checked against the verified answer.