Question

Find the next term of the geometric sequence:

8192, 512, 32…

• A. 1
• B. 3
• C. 4
• D. 2

Answer 1

The correct option is D 2

The above sequence is 8192, 512, 32…

Let us divide each term in the above sequence by the term preceding it:

$512÷8192=\frac{1}{16}$

$32÷512=\frac{1}{16}$

We observe that each term in the above sequence is $\frac{1}{16}$ times the term preceding it.

So, the next term in the sequence = $32\times \frac{1}{16}=2$