math 1

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Determine the most probable next term in the list of numbers. Show work to support your answer.



280, 480, 684, 913, 1205, 1615, …

  • math 1 -

    Set of known values:

    x = 1 , y = 280

    x = 2 , y = 480

    x = 3 , y = 684

    x = 4 , y = 913

    x = 5 , y = 1205

    x = 6 , y = 1615

    The interpolating polynomial is :

    y = ( 17 x ^ 4 - 86 x ^ 3 + 139 x ^ 2 + 4730 x + 1920 ) / 24

    For x = 7 , y = 2215


    Next term :

    2215

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