Find the next two terms of the following series. 1, 4, 9, 16, _, _.
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Find the next two terms of the following series. 1, 4, 9, 16, _, _.
25, 30
20, 28
25, 36
25, 40
The series consists of squares of consecutive integers: 1^2=1, 2^2=4, 3^2=9, 4^2=16. The next two terms are 5^2=25 and 6^2=36.
The given series follows the pattern of squares of consecutive natural numbers. The terms can be written as 1 squared is 1, 2 squared is 4, 3 squared is 3, and 4 squared is 16. Continuing this pattern, the next two terms are 5 squared which is 25, and 6 squared which is 36.