18
practice testMultiple Choice

Practice Test

Question 18 • Precalculus

Which of the following represents a geometric sequence? I 1 fourth comma 1 fourth comma 1 fourth comma 1 fourth comma dot dot dot II 1 fourth comma 1 fifth comma 1 sixth comma 1 seventh comma dot dot dot III 1 fourth comma 1 comma negative 4 comma 16 comma dot dot dot IV 1 fourth comma negative 4 comma 1 fourth comma negative 4 comma dot dot dot

Answer
A
I
B
II
C
III
D
IV

Explanation

A geometric sequence has the same ratio between each pair of consecutive terms. In sequence I, each term is 1/4, so the common ratio is 1. Sequence II does not have a constant ratio, and the ratios in III and IV also change. Therefore, the geometric sequence is I, choice A.

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