Find the missing term in the sequence $0,12,24,?,120,180,336$.
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Find the missing term in the sequence $0,12,24,?,120,180,336$.
The sequence follows the pattern of the product of a number and the number of its divisors, or n * d(n). For the terms, we have 1 * 1 = 1 (the sequence starts from 0 for some reason), 4 * 3 = 12, 6 * 4 = 24, 8 * 5 = 40 (not 60). The intended pattern is the difference between the product of consecutive even numbers and odd numbers: 4 * 3 = 12, 6 * 4 = 24, 10 * 6 = 60, 12 * 10 = 120. The missing term is 60.