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Math Help - recent gcse question - i can't work it out!

  1. #1
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    recent gcse question - i can't work it out!

    I am doing A level maths at the moment, but can't seem to work this out at all :S help would be much appreciated!!
    It was to find a rule for this sequence:
    when n=1, x=3
    when n=2, x=6
    when n=3, x=7
    when n=4, x=-2

    If you can help me, thank you!
    Becky
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  2. #2
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    Sorry I don't mean to be rude, just thought I'd say please let me know as soon as possible because it's driving me mad lol!
    Thank youuuu
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  3. #3
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    Hello, Becky!

    Find a rule for this sequence: . 3,\:6,\:7,\:\text{-}2,\:\cdots
    There is no simple pattern to the sequence.
    . . [If there is one, I've missed it.]

    There is an infinite number of polynomial functions
    . . that contain the four points: . (1,3),\;(2,6),\;(3,7),\;(4,-2).

    The simplest is a cubic: . f(n) \:=\:-\frac{4}{3}n^3 + 7n^2 - \frac{26}{3}n + 6

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