Question

The next term of the sequence $1,2,4,8,16$ is .

• A. 128
• B. 32
• C. 64

Answer 1

The correct option is B 32

Given the sequence $1,2,4,8,16,x.$
Note that every number is a factor of its successor.
$\frac{2}{1}=\frac{4}{2}=\frac{8}{4}=\frac{16}{8}=2$
Thus, the given sequence is a GP as the ratio of any two consecutive terms of the sequence is a constant.
Let the next term of the sequence be $x.$
Then,
$\frac{16}{8}=\frac{x}{16}=2.$
$\Rightarrow x=16\times 2=32$