Question

Is this a geometric sequence?

11664, 1944, 324, 54, 9 …

• A. Yes
• B. No

Answer 1

The correct option is A Yes

The given sequence is 11664, 1944, 324, 54, 9 …

Let us divide each term in the sequence by the previous term.

$1944÷11664=\frac{1}{6}$

$324÷1944=\frac{1}{6}$

$54÷324=\frac{1}{6}$

$9÷54=\frac{1}{6}$

So, each term in the sequence is $\frac{1}{6}$ times the previous term.

So, the given sequence is a geometric sequence.