Use inductive reasoning to predict the next number in the sequence.
-$1 , - \frac { 1 } { 2 } , \frac { 1 } { 4 } , - \frac { 1 } { 8 } , \frac { 1 } { 16 } , \ldots$
A) $\frac { 1 } { 64 }$
B) $- \frac { 1 } { 64 }$
C) $- \frac { 1 } { 32 }$
D) $\frac { 1 } { 32 }$

Question

Quizplus · Accepted Answer

Each term in the sequence is obtained by multiplying the previous term by $-\frac{1}{2}$. Thus, the next term after $\frac{1}{16}$ is $\frac{1}{16} \times -\frac{1}{2} = -\frac{1}{32}$.

Use Inductive Reasoning to Predict the Next Number in the Sequence