Question

Look at the pattern shown below.

Answer 1

Answer: (a)

Step-by-step explanation:

Given

The pattern is 2, 4, 16, 256...

From the pattern, we can see that the next term is square of the previous i.e.

$\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2$$\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2$

So, for the $n^{th}$ term, the function is $f(n)$

For the next term, it is $f(n+1)$

So,

$\Rightarrow f(n+1)=[f(n)]^2$