Answer:
The next number in the sequence is 36.
Step-by-step 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: [tex]a_n=(n+1)^2[/tex]
Thus, the next term will be:
[tex]a_5=(5+1)^2[/tex]
[tex]a_5=(6)^2[/tex]
[tex]a_5=36[/tex]
Therefore, the next number in the sequence is 36.
