Determine whether the sequence converges or diverges. If it converges, give the limit.
-$50 , \frac { 25 } { 2 } , \frac { 25 } { 8 } , \frac { 25 } { 32 } , \ldots$
A) Converges; $\frac { 200 } { 3 }$
B) Converges; $- 4250$
C) Diverges
D) Converges; 0

Question

Quizplus · Accepted Answer

The sequence is geometric with the first term $a = 50$ and common ratio $r = \frac{1}{4}$. Since $|r| < 1$, the sequence converges to 0.

Determine Whether the Sequence Converges or Diverges 50,252,258,2532,…50 , \frac { 25 } { 2 } , \frac { 25 } { 8 } , \frac { 25 } { 32 } , \ldots50,225​,825​,3225​,…

Determine Whether the Sequence Converges or Diverges $50 , \frac { 25 } { 2 } , \frac { 25 } { 8 } , \frac { 25 } { 32 } , \ldots$