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23 September, 05:40

Find the 54th term of the arithmetic sequence - 7,-23,-39

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  1. 23 September, 07:54
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    -855

    Step-by-step explanation:

    Find the 54th term of the arithmetic sequence - 7,-23,-39

    The first term is a_1 = - 7

    we see that the common difference = d = - 23 - (-7) = - 16

    so the formula: a_n = (n - 1) * d + a_1

    a_54 = (54 - 1) * (-16) + (-7)

    a_54 = 53 * (-16) - 7 = - 848 - 7 = - 855
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