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14 October, 11:01

N th term of quadratic sequence 3, 11, 25, 45

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  1. 14 October, 11:12
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    The first differences are 8, 14, 20.

    The second differences are 6.

    Half of 6 is 3, so the first term of the sequence is 3n^2.

    If you subtract 3n^2 from the sequence you get 0,-1,-2,-3 which has the nth term of - n + 1.

    Therefore your final answer will be 3n^2 - n + 1
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