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17 January, 06:05

Write the rule for the nth term of an arithmetic sequence in which a10=46 and d=3

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  1. 17 January, 07:48
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    Equation for arithmetic sequence

    a{n} = a{1} + d (n - 1)

    Plug in known values

    2 = a{1} + - 4 (10 - 1)

    2 = a{1} - 36

    38 = a{1}

    a{1} = 38

    Plug d = - 4 and a{1} = 38 into

    arithmetic sequence equation

    a{n} = 38 - 4 (n - 1)
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