Matematika

Pertanyaan

Suatu barisan aritmetika U1+U3+U5=30 dan U2+U4+U6=39. Suku ke-51 barisan tersebut adalah......
A.150
B.154
C.157
D.159

1 Jawaban

  • u1 + u3 + u5 = 30
    a + a + 2b + a + 4b = 30
    3a + 6a = 30 |÷3| ==> a + 2b = 10
    u2 + u4 + u6 = 39
    a + b + a + 3b + a + 5b = 39
    3a + 9b = 39 |÷3| ==> a + 3b = 13
    eliminasi
    a + 2b = 10
    a + 3b = 13
    ----------------
    -b = -3
    b = 3
    a + 2(3) = 10
    a + 6 = 10
    a = 4
    U51 = a + 50b
    U51 = 4 + 50(3)
    = 154

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