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March 29, 2017

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Find the nth term of a sequence whose first several terms are given.
6, 8, 6, 8, 6, 8, . . .

  • precalculus - ,

    an = ( - 1 ) ^ n + 7


    For odd numbers 1 , 3 , 5 ...

    ( - 1 ) ^ n = - 1

    and

    ( - 1 ) ^ n + 7 = - 1 + 7 = 6


    For even numbers 2 , 4 , 6 ...

    ( - 1 ) ^ n = 1

    and

    ( - 1 ) ^ n + 7 = 1 + 7 = 8

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