2
QuizMultiple Choice

Limits as They Relate to Sequences and Series — Quiz

Question 2 • Precalculus

Consider the sequence left divided by 1 comma negative 3 comma 9 comma negative 27 comma 81 comma point point point Which statement describes the sequence?

Answer
A
The sequence converges to 1 .
B
The sequence diverges.
C
The sequence converges to infinity .
D
The sequence converges to 0 .

Explanation

Each term is obtained by multiplying the previous term by −3, so the terms alternate between positive and negative while their magnitudes grow: 1, 3, 9, 27, 81, …. The terms do not approach a single finite value or 0, so the sequence diverges. The correct choice is “The sequence diverges.”

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