Question

FIND THE NEXT NUMBER IN THE SEQUENCE.

4, 9, 16, 25,

Answer 1

The next number in the sequence is 36.

Explanation:

Consider the provided sequence.

4, 9, 16, 25

The number 4 can be written as 2².

The number 9 can be written as 3².

The number 16 can be written as 4².

The number 25 can be written as 5².

The general term of the sequence is:
`a_n=(n+1)^2`

Thus, the next term will be:

`a_5=(5+1)^2`

`a_5=(6)^2`

`a_5=36`

Therefore, the next number in the sequence is 36.