Matematika

Pertanyaan

Diketahui suatu bsrisan aritmatika U2+U7=26 dan U5+U3=22 .tentukan besarnya suko ke-10?

2 Jawaban

  • U2 + U7 = 26
    a + b + a + 6b = 26
    2a + 7b = 26

    U5 + U3 = 22
    a + 4b + a + 2b = 22
    2a + 6b = 22

    2a + 7b = 26
    2a + 6b = 22
    ------------------- (-)
    b = 4

    2a + 6b = 22
    a + 3b = 11
    a + 12 = 11
    a = -1

    U10 = a + 9b
    U10 = -1 + 9(4)
    U10 = -1 + 36
    U10 = 35
  • u2+u7=26
    a+(n-1)b=Un
    a+(2-1)b=U2
    a+b=U2
    a+(7-1)b=U7
    a+6b=U7
    u2+u7=26
    a+b + a+6b = 26
    2a+7b=26

    u5+u3=22
    a+(n-1)b=Un
    a+(5-1)b=U5
    a+4b=U5
    a+(3-1)b=U3
    a+2b=U3
    U5+U3=22
    a+4b + a+2b = 22
    2a+6b = 22

    dieliminasi
    2a+7b= 26
    2a+6b= 22  -
    hasil : b=4
              a=-1

    U10 = a + (n-1)b
    = (-1) + (10-1)4
    = (-1) + 9x4
    = (-1) + 36
    = 35




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