Matematika

Pertanyaan

s5 = 70 dan j3 = 462 hitunglah
(a) a
(b) b
(c) s12
(d) j10

1 Jawaban

  • S5 = 70
    a + 4b = 70 .... a = 70 - 4b (persamaan 1)

    J3 = 462 ...................................... Jn = n/2(2a + (n - 1)b)
    3/2(2a + (3 - 1)b) = 462
    3(2a + 2b) = 924
    a + b = 154 (persamaan 2)
     
    a + b = 154
    (70 - 4b) + b = 154
    -3b = 84
    b = - 28

    a = 70 - 4b
    a = 70 - 4. (-28)
    a = 70 + 112
    a = 182

    S12 = a + 11b
           = 182 + 11. (-28)
           = - 126

    J10 = 10/2 ( 2. 182 + 9. (-28))
           = 5( 364 - 252)
           = 5 (112)
           = 560


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