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Math Help - Finding a formula for a sequence

  1. #1
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    Finding a formula for a sequence

    Find a simple formula which defines the nth term of a sequences whose first few terms are the same as those given:

    1, -4, 9, -16

    I already know the answer is -(-1)^n * n^2

    But how would I show working out?
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  2. #2
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    1, -4, 9, -16, \dots =1^2, -2^2, 3^2, -4^2, \dots =-(-1)^1\times 1^2, -(-1)^2\times 2^2, -(-1)^3\times 3^2, -(-1)^4\times 4^2, \dots
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