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) Diverges
B) Converges

Question

Quizplus · Accepted Answer

The sequence $a_n = (18 + n)^{1/n}$ converges to 1 as $n$ approaches infinity. This is because for large $n$, the expression inside the power becomes large, and the $1/n$ power tends to shrink the value towards 1.

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 $a _ { n } = ( 18 + n ) ^ { 1 / n }$