Write the first five terms of the geometric sequence with the given information.
-The first term is 8 and the common ratio is $- \frac { 1 } { 4 }$.
A) $- 2 , \frac { 1 } { 2 } , - \frac { 1 } { 8 } , \frac { 1 } { 32 } , - \frac { 1 } { 128 }$
B) $8 , - 32,128 , - 512,2048$
C) $8 , - 2 , \frac { 1 } { 2 } , - \frac { 1 } { 8 } , \frac { 1 } { 32 }$
D) $2 , - \frac { 1 } { 2 } , - \frac { 1 } { 8 } , - \frac { 1 } { 32 } , - \frac { 1 } { 128 }$

Question

Quizplus · Accepted Answer

The first term is 8, and each subsequent term is found by multiplying the previous term by the common ratio $-\frac{1}{4}$. This results in the sequence $8, 8(-\frac{1}{4}), 8(-\frac{1}{4})^2, 8(-\frac{1}{4})^3, 8(-\frac{1}{4})^4$, which simplifies to $8, -2, \frac{1}{2}, -\frac{1}{8}, \frac{1}{32}$.

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