Write the first five terms of the geometric sequence. $a _ { 1 } = - 1 , r = - \frac { 1 } { 6 }$
A)-1, -7, -13, -19, -25
B)-1, 6, -36, 216, -1296
C) $\frac { 1 } { 6 } , - \frac { 1 } { 36 } , \frac { 1 } { 216 } , - \frac { 1 } { 1296 } , \frac { 1 } { 7776 }$
D) $1 , - 1 , \frac { 1 } { 6 } , - \frac { 1 } { 36 } , \frac { 1 } { 216 }$
E) $- 1 , \frac { 1 } { 6 } , - \frac { 1 } { 36 } , \frac { 1 } { 216 } , - \frac { 1 } { 1296 }$

Question

Quizplus · Accepted Answer

The sequence starts with $a_1 = -1$ and has a common ratio $r = -\frac{1}{6}$. Each term is found by multiplying the previous term by $r$. The first five terms are $-1, -1 \cdot -\frac{1}{6}, -1 \cdot (-\frac{1}{6})^2, -1 \cdot (-\frac{1}{6})^3, -1 \cdot (-\frac{1}{6})^4$, simplifying to $-1, \frac{1}{6}, -\frac{1}{36}, \frac{1}{216}, -\frac{1}{1296}$.

Write the First Five Terms of the Geometric Sequence a1=−1,r=−16a _ { 1 } = - 1 , r = - \frac { 1 } { 6 }a1​=−1,r=−61​

Write the First Five Terms of the Geometric Sequence $a _ { 1 } = - 1 , r = - \frac { 1 } { 6 }$