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arithmetic

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the sum of irst and the fourthterm of a linear squence is10 and the sum of its thired and seventh term is 20.find the common difference and the first term

  • arithmetic -

    The nth term of a linear sequence is a + (n-1)d

    T1 + T4 = a + a+3d = 10
    T3 + T7 = a+2d + a+6d = 20

    2a + 3d = 10
    2a + 8d = 20

    5d = 10
    d=2
    a=2

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