Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
-$$a _ { n } = ( 18 + n ) ^ { 1 / n }$$
A) Converges
B) Diverges

Question

Quizplus · Accepted Answer

The sequence $$a_n = (18 + n)^{1/n}$$ converges as $n$ approaches infinity. This is because, for large values of $n$, the term $18$ becomes negligible compared to $n$, and the expression behaves similarly to $n^{1/n}$, which is known to converge to $1$. Thus, the sequence converges.

Graph the Function Corresponding to the Sequence Defined an=(18+n)1/na _ { n } = ( 18 + n ) ^ { 1 / n }an​=(18+n)1/n

Graph the Function Corresponding to the Sequence Defined $a _ { n } = ( 18 + n ) ^ { 1 / n }$