Write the first five terms of the geometric sequence.
$$a _ { 1 } = 4 , r = - \frac { 1 } { 5 }$$
A) $4 , - 1 , - 6 , - 11 , - 16$
B) $4 , - 20,100 , - 500,2500$
C) $- \frac { 4 } { 5 } , \frac { 4 } { 25 } , - \frac { 4 } { 125 } , \frac { 4 } { 625 } , - \frac { 4 } { 3125 }$
D) $1,4 , - \frac { 4 } { 5 } , \frac { 4 } { 25 } , - \frac { 4 } { 125 }$
E) $4 , - \frac { 4 } { 5 } , \frac { 4 } { 25 } , - \frac { 4 } { 125 } , \frac { 4 } { 625 }$

Question

Quizplus · Accepted Answer

The sequence is geometric with the first term $a_1 = 4$ and common ratio $r = -\frac{1}{5}$. Each term is found by multiplying the previous term by $r$. The first five terms are $4, 4(-\frac{1}{5}), 4(-\frac{1}{5})^2, 4(-\frac{1}{5})^3, 4(-\frac{1}{5})^4$, simplifying to $4, -\frac{4}{5}, \frac{4}{25}, -\frac{4}{125}, \frac{4}{625}$.

Write the First Five Terms of the Geometric Sequence a1=4,r=−15a _ { 1 } = 4 , r = - \frac { 1 } { 5 }a1​=4,r=−51​

Write the First Five Terms of the Geometric Sequence $a _ { 1 } = 4 , r = - \frac { 1 } { 5 }$