Write the first five terms of the geometric sequence.
$$a _ { 1 } = - 5 , r = - \frac { 1 } { 9 }$$
A) $- 5 , - 14 , - 23 , - 32 , - 41$
B) $- 5,45 , - 405,3645 , - 32,805$
C) $\frac { 5 } { 9 } , - \frac { 5 } { 81 } , \frac { 5 } { 729 } , - \frac { 5 } { 6561 } , \frac { 5 } { 59,049 }$
D) $1 , - 5 , \frac { 5 } { 9 } , - \frac { 5 } { 81 } , \frac { 5 } { 729 }$
E) $- 5 , \frac { 5 } { 9 } , - \frac { 5 } { 81 } , \frac { 5 } { 729 } , - \frac { 5 } { 6561 }$

Question

Quizplus · Accepted Answer

The terms of a geometric sequence are found by multiplying the previous term by the common ratio $r$. Starting with $a_1 = -5$ and $r = -\frac{1}{9}$, the sequence is $-5, -5 \cdot (-\frac{1}{9}), -5 \cdot (-\frac{1}{9})^2, -5 \cdot (-\frac{1}{9})^3, -5 \cdot (-\frac{1}{9})^4$, simplifying to $-5, \frac{5}{9}, -\frac{5}{81}, \frac{5}{729}, -\frac{5}{6561}$.

Write the First Five Terms of the Geometric Sequence a1=−5,r=−19a _ { 1 } = - 5 , r = - \frac { 1 } { 9 }a1​=−5,r=−91​

Write the First Five Terms of the Geometric Sequence $a _ { 1 } = - 5 , r = - \frac { 1 } { 9 }$