Question

State True or False:
4096, 2048, 1024, 512, 256 …is a geometric sequence.

• A. True
• B. False

Answer 1

The correct option is A True

The given sequence is
4096, 2048, 1024, 512, 256…

Let us divide each term in the above sequence by the previous term.
$2048÷4096=\frac{1}{2}$
$1024÷2048=\frac{1}{2}$
$512÷1024=\frac{1}{2}$
$256÷512=\frac{1}{2}$

We can observe in the above sequence that each term is $\frac{1}{2}$ times the previous term.

So, the above sequence is geometric.