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Math Help - Sequence A-Level Question

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    Angry Sequence A-Level Question

    Find the nth tern of the sequence
    -3,5,-7,9
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by helpishere View Post
    Find the nth tern of the sequence
    -3,5,-7,9
    T_{n} = (-1)^n (2n + 1)

    First ignore the negatives.

    It's easy to see that the n-th term is then given by T_{n} = (2n + 1)

    Now we see that every odd term ( T_1 , T_3 , etc.) is negative.

    So all we do is multiply the expression by (-1)^n where n is the term. So if it's and odd term, it will have a negative value and a positive value for an even term.
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