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21 June, 15:49

Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify the formula and reduce any fractions to lowest terms. a24=83/3 and d=4/3

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  1. 21 June, 19:07
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    an = 4/3n - 13/3.

    Step-by-step explanation:

    The first term is a1,

    a24 = a1 + 23d

    83/3 = a1 + 4/3 * 23

    a1 = 83/3 - 92/3

    a1 = - 9/3 = - 3.

    So the nth term an = - 3 + 4/3 (n - 1)

    an = - 3 + 4/3 n - 4/3

    an = 4/3n - 13/3
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