Matematika

Pertanyaan

Suatu barisan aritmatka diketahui u3=13 u7=33.suku ke 51 adalah

2 Jawaban

  • Aritmatika
    Un = a + (n-1)b

    U3 = 13
    U3 = a + 2b
    a + 2b = 13

    U7 = 33
    U7 = a + 6b
    a + 6b = 33

    eliminasi

    a + 6b = 33
    a + 2b = 13 (-)
    --------------------
    4b = 20
    b = 20/4
    b = 5

    a + 2b = 13
    a + 2(5) = 13
    a + 10 = 13
    a = 13 - 10
    a = 3

    U51 = a + 50b
    = 3 + 50(5)
    = 3 + 250
    = 253
  • U3 = a + 2b = 13
    U7 = a + 6b = 33
    ------------------------ -
    -4b = -20
    b = 5
    a + 2b = 13
    a + 2(5) = 13
    a + 10= 13
    a = 13-10
    a = 3
    rumus mencari suku
    U51 = a + 50b
    = 3 + 50 (5)
    = 3 + 250
    = 253

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