Determine the convergence or divergence of the sequence $9 - \frac { 4 } { 5 ^ { n } }$ . If the sequence converges, use a symbolic algebra utility to find its limit.
A)9
B)4
C)5
D) $- \infty$
E)The sequence diverges.

Question

Quizplus · Accepted Answer

As $n$ approaches infinity, the term $\frac{4}{5^n}$ approaches 0, making the sequence converge to 9.

Determine the Convergence or Divergence of the Sequence 9−45n9 - \frac { 4 } { 5 ^ { n } }9−5n4​

Determine the Convergence or Divergence of the Sequence $9 - \frac { 4 } { 5 ^ { n } }$