find the next three terms in the sequence
1,4,9,16,25
The given sequence is a sequence of perfect squares. The next three terms in the sequence would be 36, 49, and 64.
So, the next three terms are 36, 49, and 64.
The given sequence is created by squaring consecutive positive integers. To find the next three terms, we need to continue this pattern.
The next term is obtained by squaring the next positive integer, which is 6. So, the next term in the sequence is 6^2 = 36.
The term after that is obtained by squaring the positive integer after 6, which is 7. So, the next term is 7^2 = 49.
Similarly, the term after that is obtained by squaring the positive integer after 7, which is 8. So, the next term is 8^2 = 64.
Therefore, the next three terms in the sequence are 36, 49, and 64.