19
QuizMultiple Choice

Recursive Formulas

Question 19 • Precalculus

Which of the following is a geometric series?

Answer
A
40 + 50 + 60 + 70
B
40 + 42 + 44 + 46
C
40 + 80 + 40 + 120
D
40 + 20 + 10 + 5

Explanation

A geometric series has a constant ratio between consecutive terms. In D, each term is half the term before it: 20 ÷ 40 = 1/2, 10 ÷ 20 = 1/2, and 5 ÷ 10 = 1/2. So 40 + 20 + 10 + 5 is geometric; the other choices do not have a constant ratio.

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