Find the first five terms of the geometric sequence with the given first term and common ratio.
-$$a _ { 1 } = - 4 , r = - \frac { 1 } { 11 }$$
A) $- 4 , \frac { 4 } { 11 } , - \frac { 4 } { 121 } , \frac { 4 } { 1331 } , - \frac { 4 } { 14641 }$
B) $- 4 , - 44 , - 484 , - 5324 , - 58,564$
C) $- 4 , - \frac { 4 } { 11 } , - \frac { 4 } { 121 } , - \frac { 4 } { 1331 } , - \frac { 4 } { 14641 }$
D) $- 4,44 , - 484,5324 , - 58,564$

Question

Quizplus · Accepted Answer

The terms of a geometric sequence are found by multiplying the previous term by the common ratio. Starting with $a_1 = -4$ and $r = -\frac{1}{11}$, the sequence is: $-4, -4 \cdot -\frac{1}{11} = \frac{4}{11}, \frac{4}{11} \cdot -\frac{1}{11} = -\frac{4}{121}, -\frac{4}{121} \cdot -\frac{1}{11} = \frac{4}{1331}, \frac{4}{1331} \cdot -\frac{1}{11} = -\frac{4}{14641}$.

Find the First Five Terms of the Geometric Sequence with the Given