college math excursions

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

  • college math excursions -

    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

  • college math excursions -

    280

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