6
practice testMultiple Choice

Practice Test

Question 6 • Precalculus

Consider the sequence 1 comma 3 comma 9 comma 27 comma 81 comma dot dot dot Which statement describes the sequence?

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

Explanation

Each term is 3 times the previous term, so the sequence is 1, 3, 9, 27, 81, … and its terms grow without bound. A sequence that does not approach a finite limit diverges, so the correct choice is “The sequence diverges.”

AI-written and checked against the verified answer.

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