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12 March, 20:19

Find the 70th term of the arithmetic sequence 29, 17, 5, ...

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  1. 12 March, 20:32
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    Answer: - 799

    Step-by-step explanation:

    The term of a sequence

    Tn = a + (n - 1) d where a = first term, n = the number of terms and d = the common difference.

    From the Arithmetic Sequence, a = 29, n = 70 while d = 17 - 29 = - 12

    To calculate d, always deduct the first term from the second term and so on.

    Now substitute for the values in the formula to find the 70th term

    T (70) = 29 + (70 - 1) x - 12

    = 29 + 69 x - 12

    = 29 - 828

    = - 799.

    Therefore the 70th term of the sequence

    = - 799
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