Find the missing term in the given series. 4, 16, 36, ?, 100, 144
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Find the missing term in the given series. 4, 16, 36, ?, 100, 144
72
68
81
64
The series consists of squares of consecutive even numbers: 2^2=4, 4^2=16, 6^2=36, 8^2=64, 10^2=100, and 12^2=144. The missing term is 8^2, which equals 64.
The series consists of perfect squares of consecutive even numbers: 2 squared is 4, 4 squared is 16, and 6 squared is 36. To find the missing term, we square the next even number, 8, which equals 64. This is confirmed by the subsequent terms, as 10 squared is 100 and 12 squared is 144.