Matematika

Pertanyaan

suku ke 2=6 dan suku ke 10=22 jumlah 20 sukupertama adalah,pakai caranya

2 Jawaban

  • U2 = a + b = 6
    U10 = a + 9b = 22
    ______________
    -8b = -16
    b = 2

    a + b = 6
    a + 2 = 6
    a = 4

    S20 = n/2 (2a + 19b)
    S20 = 20/2 (2(4) + 19(2))
    S20 = 10 (8 + 38)
    S20 = 10 (46)
    S20 = 460

    Semoga Membantu
  • Materi : Barisan dan deret

    Pembahasan :
    Beda = (U10 - U2)/(10 - 2)
    Beda = (22 - 6)/8
    Beda = 16/8
    Beda = 2

    U2 = 6
    a + b = 6
    a + 2 = 6
    a = 4

    U20 = a + 19b
    U20 = a + 9b + 10b
    U20 = 22 + 10(2)
    U20 = 22 + 20
    U20 = 42

    Maka...
    Sn = n/2(a + Un)
    S20 = 20/2(4 + U20)
    S20 = 10(4 + 42)
    S20 = 10(46)
    S20 = 460

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