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10 December, 15:25

The first five terms of a sequence are 2, 5/3, 3/2, 7/5 and 4/3. what is the explicit formula?

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  1. 10 December, 15:30
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    an = (n+3) / (n+1)

    Step-by-step explanation:

    The sequence can be written as ...

    4/2, 5/3, 6/4, 7/5, 8/6, ...

    where the first numerator is n+3 and the first denominator is n+1. Each numerator and denominator increase by 1 from term to term, so the explicit formula can be written

    an = (n+3) / (n+1)
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