Question

Find the next term of the following sequence:
$4$, $16$, $64$, $256$,

• A. $512$
• B. $768$
• C. $1,280$
• D. $1,024$

Answer 1

The correct option is D $1,024$

Given sequence: $4$, $16$, $64$, $256$, _____
Need to find: $5^{\text{th}}$ term

By observing the pattern of the above sequence, we get:
$4\times 4=16$,
$16\times 4=64$,
$64\times 4=256$,
$256\times 4=\underset{–}{1,024}$

We can summarize the pattern as
$\text{Next term}=\text{Previous term}\times 4$

Hence,
$5^{\text{th}}\text{term}$
$=4^{\text{th}}\text{term}\times 4$
$=256\times 4$
$=1,024$​​​