Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r.
-$$a _ { 1 } = - \frac { 2 } { 5 } , r = - 4$$
A) $= \frac { 2 } { 5 } , \frac { 8 } { 5 } , - \frac { 32 } { 5 } , \frac { 128 } { 5 } , \ldots$
B) $- \frac { 2 } { 5 } , \frac { 32 } { 25 } , \frac { 32 } { 125 } , \frac { 512 } { 625 } , \ldots$
C) $- \frac { 2 } { 5 } , \frac { 8 } { 5 } , \frac { 32 } { 5 } , \frac { 128 } { 5 } , \ldots$
D) $= \frac { 2 } { 5 } , \frac { 8 } { 25 } , \frac { 16 } { 125 } , \frac { 128 } { 625 } , \ldots$

Question

Quizplus · Accepted Answer

The first term is $-\frac{2}{5}$. Multiplying by the common ratio $-4$ for each subsequent term gives: $-\frac{2}{5}, -\frac{2}{5} \times -4 = \frac{8}{5}, \frac{8}{5} \times -4 = -\frac{32}{5}, -\frac{32}{5} \times -4 = \frac{128}{5}$.

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