Find the missing term in the given sequence $-1,0,?,8,15,24$.
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Find the missing term in the given sequence $-1,0,?,8,15,24$.
The sequence is n^2 - 1 for n=0, 1, 2, 3, 4, 5. 0^2-1 = -1, 1^2-1 = 0, 2^2-1 = 3, 3^2-1 = 8, 4^2-1 = 15, 5^2-1 = 24. The missing term is 3.
Examining the sequence -1, 0, ?, 8, 15, 24 reveals a pattern where each term is one less than a perfect square. The surrounding numbers correspond to 1^2 - 1 = 0, 3^2 - 1 = 8, 4^2 - 1 = 15, and 5^2 - 1 = 24. Following this exact pattern for the missing term, we calculate 2^2 - 1 = 3.