7
QuizMultiple Choice

Modeling with Sequences and Series — Test

Question 7 • Precalculus

Consider the sequence 2 fourths comma 3 fifths comma the fraction with numerator 4 and denominator 6 comma comma 5 sevenths comma dot dot dot Which statement describes the sequence?

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

Explanation

The terms follow the pattern n/(n+2): 2/4, 3/5, 4/6, and so on. As n gets larger, the difference between the denominator and numerator stays 2, while both grow without bound, so the fraction approaches 1. Therefore, the sequence converges to 1.

AI-written and checked against the verified answer.

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