2
QuizMultiple Choice

Modeling with Sequences and Series — Quiz

Question 2 • Precalculus

A student wrote the terms. negative 1 third comma 1 sixth comma negative 1 over 12 comma 1 over 24 comma negative 1 over 48 What do these terms represent?

Answer
A
an arithmetic series
B
a geometric sequence
C
an arithmetic sequence
D
a geometric series

Explanation

Each term is found by multiplying the previous term by −1/2: (−1/3)(−1/2) = 1/6, and (1/6)(−1/2) = −1/12. Since the ratio between consecutive terms is constant, these terms represent a geometric sequence, not a series (which is a sum of terms).

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