Matematika

Pertanyaan

U1 + U2 +U3 =20
U1 + U3 +U5 =62
U3 +U4 +U5 =84
Tentukan U1 ,U3 ,dan U6

1 Jawaban

  • itu barisan aritmatika kah?
    kalo iya berarti

    u1 = a
    u2 = a+ b
    u3 = a + 2b
    u4 = a + 3b
    u5 = a + 4b

    * u1 + u2 + u3 = 20
    a + a + b + a + 2b = 20
    3a + 3b = 20

    u1 + u3 + u5 = 62
    a + a + 2b + a + 4b = 62
    3a + 6b = 62

    3a + 6b = 62
    3a + 3b = 20
    --------------------- -
    3b = 42
    b = 14

    3a + 3b = 20
    3a + 3(14) = 20
    3a + 42 = 20
    3a = 20 - 42
    3a = -18
    a = -6

    u1 = a = -6

    u3 = a+2b = -6 +2(14) = -6 + 28 = 22

    u6 = a + 5b = -6 + 5(14) = -6 + 70 = 64

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