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posted by jane on Tuesday, November 8, 2011 at 11:03am.

what is the next number sequence for 0,10,24,56,112,190

Take a look at the Newton's Method of Divided Differences. The polynomial of lowest degree which fits these data points is 0 + 10(x) + 2(x)(x-1) + (7/3)(x)(x-1)(x-2) + (-1/3)(x)(x-1)(x-2)(x-3) The next values are 280 364

280

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