Pattern: 1^2, 2^2, 3^2, 4^2... Next Two Terms: 25 and 36
Practice makes perfect
By observing the change that occurs between each consecutive term, we can describe the pattern of the sequence. Here, we can see that there is no common difference. However, notice that all of the given numbers are perfect squares.
1, 4, 9, 16 ...
1^2,2^2,3^2,4^2...
Therefore, the presented pattern is squaring consecutive natural numbers. To find the next two terms in the sequence, we will extend this pattern twice.
1^2, 2^2, 3^2, 4^2, 5^2, 6^2...
1, 4, 9, 16, 25, 36...
