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20 May, 22:34

In this particular arithmetic sequence, a6 = 36 and a17 = 113. what is the value of a23 a23=101 a23=155 a23=162 a23=167

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  1. 20 May, 22:53
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    Determine first the common difference (d) of the arithmetic sequence using the given terms,

    d = (a17 - a6) / (17 - 6)

    d = (113 - 36) / 11 = 7

    Using the 17th term, 113, we get the value of a23 by,

    a23 = a17 + (23 - 17) x 7

    a23 = 113 + 42 = 155

    Thus, the 23rd term is 155.
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