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Suatu barisan aritmetika U-3+U-7=56 dan u6+u10=86 , maka suku ke4 adalah... beserta caranya .....

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  • U3 = a + 2b
    U7 = a + 6b
    U6 = a + 5b
    U10 = a + 9b

    a + 2b + a + 6b = 56
    2a + 8b = 56

    a + 5b + a + 9b = 86
    2a + 14b = 86

    2a + 8b = 56
    2a + 14b = 86
    ____________ _
    6b = 30
    b = 30/6 = 5

    2a + 8(5) = 56
    2a = 56 - 40 = 16
    a = 16/2 = 8

    U4 = a + 3b
    U4 = 8 + 3(5)
    U4 = 8 + 15 = 23

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