Matematika

Pertanyaan

u6+u7=39,u29=87,jumlah 45 suku pertama

2 Jawaban

  • u6+u7=39
    a+5b+a+6b=39
    2a+11b=39

    u29=87
    a+28b=87

    mencari nilai a dan b dengan metode eliminasi substitusi
    2a+11b=39 | x1 | 2a+11b=39
    a+28b=87 | x2 | 2a+56b= 174
    ~> -45b= -135
    -> b=3
    a= 3

    S45=45/2.(2.3+(45-1).3)
    = 45/2(6+44.3)
    =45/2(138)
    =45.69
    =3105
  • U6 + U7 = 39
    a + 5b + a + 6b = 39
    2a + 11b = 39 ... pers 1

    U29 = 87
    a + 28b = 87 ... pers 2

    pers 1 & 2
    2a + 11b = 39
    a + 28b = 87 |×2
    maka
    2a + 11b = 39
    2a + 56b = 174
    -----------------------(-)
    - 45b = - 135
    b = 3

    subtitusi ke pers
    2a + 11b = 39
    2a + 11(3) = 39
    2a + 33 = 39
    2a = 39 - 33
    a = 6 ÷ 2
    a = 3

    S45 = ½ • n ( 2a + ( n - 1)b)
    = ½ • 45 ( 2•3 + ( 45 - 1)3)
    = 45/2 ( 6 + 132)
    = 45/2 • 138
    = 3.105

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