20
QuizMultiple Choice

Applying Vectors in the Plane — Cumulative exam

Question 20 • Precalculus

A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?

Answer
A
42.5
B
190.0
C
465.0
D
740.0

Explanation

For an arithmetic series, the sum is the number of terms times the average of the first and last terms: 4,185 = 18(a + 275)/2. Dividing by 9 gives a + 275 = 465, so the first number is 190.0, choice B.

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