Matematika

Pertanyaan

suatu barisan aritmatika dimana u3 dan u6 75 sedangkan u8 27 tentukan s8

1 Jawaban

  • U3 + U6 = 75
    a + 2b + a + 5b = 75
    2a + 7b = 75
    U8 = a + 7b = 27

    2a + 7b = 75
    a + 7b = 27
    --------------------(-)
    a = 48

    a + 7b = 27
    48 + 7b = 27
    7b = 27 - 48
    7b = - 21
    b = - 3

    S8 = ½ . n (2a + (n - 1)b)
    = ½ . 8 (2. 48 + (8 - 1)(-3)
    = 4 (96 + 7 (-3))
    = 4 (96 - 21)
    = 4 . 75
    = 300

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