The following is a geometric sequence. Find the next number in the sequence. $1, \frac{1}{6}, \frac{1}{36}$
A) $-\frac{1}{216}$
B) $\frac{1}{6}$
C) $\frac{1}{216}$
D) $\frac{1}{42}$
E) $-\frac{1}{42}$

Question

Quizplus · Accepted Answer

The common ratio of the sequence is $\frac{1}{6}$, as each term is obtained by multiplying the previous term by $\frac{1}{6}$. Therefore, the next number is $\frac{1}{36} \times \frac{1}{6} = \frac{1}{216}$.

The Following Is a Geometric Sequence 1,16,1361, \frac{1}{6}, \frac{1}{36}1,61​,361​ A) −1216-\frac{1}{216}−2161​ B) 16\frac{1}{6}61​

The Following Is a Geometric Sequence $1, \frac{1}{6}, \frac{1}{36}$ A) $-\frac{1}{216}$ B) $\frac{1}{6}$