Answers Precalculus Arithmetic Series — QuizQuestion 14

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Arithmetic Series — Quiz

Question 14 • Precalculus

Sasha sets a goal to read 5 minutes longer than each previous day for 30 days. On the first day, Sasha reads for 20 minutes. The expression the sum from n is equal to 1 to 30 of open bracket 20 plus 5 close bracket represents the total number of minutes Sasha reads during the 30 days. How many total minutes does she read?

Answer

A

2 comma 775

B

2 comma 850

C

5 comma 550

D

5 comma 700

Explanation

The reading times form an arithmetic sequence: 20 minutes on day 1, increasing by 5 minutes each day. On day 30, Sasha reads 20 + 29 × 5 = 165 minutes. The total is 30 × (20 + 165) ÷ 2 = 2,775 minutes, so the answer is A, 2,775.

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