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3 June, 03:41

Find a formula for the general term a_n of the sequence:

{-3, 2, - 4/3, 8/9, - 16/27}

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  1. 3 June, 04:09
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    First of all, we need to put the first two numbers into fraction form:

    {-3/1, 2/1, - 4/3, 8/9, - 16/27}

    You can see there is a pattern to these numbers, and the pattern is that each number is multiplied by - 2/3 to give the following number (-3 * (-2/3) = 2; 2 * (-2/3) = - 4/3, and so on).

    This means that this is a geometric sequence.
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