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26 October, 11:33

How many terms are in arithmetic sequence whose first term is - 3, common difference is 2, and last term is 23

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  1. 26 October, 11:57
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    A = - 3,

    d = 2,

    last term, l = 23

    a + (n - 1) * d

    23 = a + (n - 1) d

    23 = - 3 + (n - 1) 2

    23 + 3 = 2 (n - 1)

    26 = 2 (n - 1)

    2 (n - 1) = 26

    n - 1 = 26/2

    n - 1 = 13

    n = 13 + 1

    n = 14

    There are 14 terms.
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