9
QuizMultiple Choice

Finite Geometric Series

Question 9 • Precalculus

Which of the following is a geometric series?

Answer
A
6 + 13 + 20 + 27
B
7 + 21 + 35 + 45
C
14 + 21 + 28 + 35
D
2 + 14 + 98 + 686

Explanation

A geometric series has a constant ratio between consecutive terms. In D, each term is multiplied by 7: 14 ÷ 2 = 7, 98 ÷ 14 = 7, and 686 ÷ 98 = 7. The other choices do not have a constant ratio, so 2 + 14 + 98 + 686 is geometric.

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