While there are not enough terms to be fully certain, it appears that the following numbers in the sequence are being multiplied by the nth term. Therefore, 24 x 5 = 120 will be the next term in the sequence.
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It is multiplies each time by one more number... Like it goes 1 x 2 = 2; 2 x 3 = 6; 6 x 4 = 24; 24 x 5 = 120; 120 x 6 = ? The answer is 120 times 6
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120. The numbers are factorials: 1, 1x2, 1x2x3, etc.
Because 3 * 2 = 6, 6 * 2 = 12, and 12 * 2 = 24, the common ration of the sequence is 2. If we are given the fact that the sequence does have a common ratio, the answer can be found by simply taking 6/3 = 2.
270. The sequence could be t(n) = 11.5n3 - 75n2 - 159.5n - 90 (for n = 1, 2, 3, ...)