Write the first four terms of the geometric sequence.
-$a _ { 1 } = - \frac { 1 } { 2 }$ and $r = - \frac { 1 } { 3 }$.

A) $- \frac { 1 } { 2 } , - \frac { 1 } { 6 } , - \frac { 1 } { 18 } , - \frac { 1 } { 54 } , \ldots$
B) $- \frac { 1 } { 2 } , \frac { 3 } { 2 } , - \frac { 9 } { 2 } , \frac { - 27 } { 2 } , \ldots$
C) $- \frac { 1 } { 2 } , - \frac { 3 } { 2 } , - \frac { 9 } { 2 } , - \frac { - 27 } { 2 } , \ldots$
D) $- \frac { 1 } { 2 } , \frac { 1 } { 6 } , - \frac { 1 } { 18 } , \frac { 1 } { 54 } , \ldots$

Question

Write the first four terms of the geometric sequence.
-$a _ { 1 } = - \frac { 1 } { 2 }$ and $r = - \frac { 1 } { 3 }$.

A) $- \frac { 1 } { 2 } , - \frac { 1 } { 6 } , - \frac { 1 } { 18 } , - \frac { 1 } { 54 } , \ldots$
B) $- \frac { 1 } { 2 } , \frac { 3 } { 2 } , - \frac { 9 } { 2 } , \frac { - 27 } { 2 } , \ldots$
C) $- \frac { 1 } { 2 } , - \frac { 3 } { 2 } , - \frac { 9 } { 2 } , - \frac { - 27 } { 2 } , \ldots$
D) $- \frac { 1 } { 2 } , \frac { 1 } { 6 } , - \frac { 1 } { 18 } , \frac { 1 } { 54 } , \ldots$

Quizplus · Accepted Answer

The sequence starts with $a_1 = -\frac{1}{2}$ and each term is found by multiplying the previous term by $r = -\frac{1}{3}$. This results in alternating signs and the denominators being multiplied by 3 each time, matching option D.

Write the First Four Terms of the Geometric Sequence a1=−12a _ { 1 } = - \frac { 1 } { 2 }a1​=−21​

Write the First Four Terms of the Geometric Sequence $a _ { 1 } = - \frac { 1 } { 2 }$