Matematika

Pertanyaan

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1 Jawaban

  • 1.a) a=5, b=2,
    Un = a+(n-1)b
    = 5+(n-1)2
    = 5+2n-2
    = 2n+3
    U20 = 2.20+3
    = 40+3 = 43
    .b) a=100, b= -10
    Un = a+(n-1)b
    = 100+(n-1)(-10)
    = 100-10n+10
    = 110-10n
    U20 = 110-10.20
    = 110-200
    = -90
    2. U1+U2+U3 = 15
    a+a+b+a+2b = 15
    3a+3b = 15
    a+b = 5
    a = 5-b
    U1.U2.U3 = 80
    a(a+b)(a+2b) = 80
    (5-b).5.(5+b) = 80
    (5-b)(5+b) = 16
    25-b² = 16
    b² = 9
    b = 3, a = 5-3 = 2
    jadi, a = U1 = 2
    a+b = U2 = 5
    a+2b = U3 = 2+2.3 = 8
    3. U6 = 12
    Sn = n/2(a+Un)
    S6 = 6/2(a+U6)
    12 = 3(a+12)
    4 = a+12
    a = 4-12 = -8
    U6 = a+5b
    12 = -8+5b
    5b = 20
    b = 4
    U15 = -8+5.4
    = -8+20
    = 12