Evaluate the series, if it converges.
-$$- 14 + \frac { 70 } { 3 } - \frac { 350 } { 9 } + \frac { 1750 } { 27 } + \ldots$$
A) Does not converge
B) $\frac { 21 } { 4 }$
C) $\frac { 35 } { 4 }$
D) $- \frac { 35 } { 4 }$

Question

Quizplus · Accepted Answer

The series is a geometric series with the first term $a = -14$ and common ratio $r = -\frac{10}{3}$. Since $|r| > 1$, the series does not converge.

Evaluate the Series, If It Converges −14+703−3509+175027+…- 14 + \frac { 70 } { 3 } - \frac { 350 } { 9 } + \frac { 1750 } { 27 } + \ldots−14+370​−9350​+271750​+…

Evaluate the Series, If It Converges $- 14 + \frac { 70 } { 3 } - \frac { 350 } { 9 } + \frac { 1750 } { 27 } + \ldots$