10
QuizMultiple Choice

Limits as They Relate to Sequences and Series — Quiz

Question 10 • Precalculus

Consider the sequence three fourths comma four fifths comma five sixths comma six sevenths comma point point point Which statement describes the sequence?

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

Explanation

The terms follow the pattern n/(n+1), such as 3/4, 4/5, and 5/6. As n grows, the difference between each term and 1 is 1/(n+1), which approaches 0. Therefore, the sequence converges to 1, so the correct choice is “The sequence converges to 1.”

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