Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
-$$a _ { n } = \frac { 2 n } { n + 9 }$$
A) Diverges
B) Converges

Question

Quizplus · Accepted Answer

The sequence $a_n = \frac{2n}{n+9}$ converges. As $n$ approaches infinity, the dominant terms in the numerator and denominator are both $n$, so the sequence approaches $\frac{2n}{n} = 2$. Thus, the sequence converges to 2.

Graph the Function Corresponding to the Sequence Defined an=2nn+9a _ { n } = \frac { 2 n } { n + 9 }an​=n+92n​

Graph the Function Corresponding to the Sequence Defined $a _ { n } = \frac { 2 n } { n + 9 }$