Matematika

Pertanyaan

u1=5 u6=55 tentukan S16

2 Jawaban

  • mencari b
    u1 = a + b = 5
    u6 = a + 5b = 55
    (di kurang)

    -5 = -50
    b = -50/-5
    b =10


    mencari a
    a + 5b =55
    a + 5.10 =55
    a + 50 = 55
    55 - 50 = 5


    masukkan rumus
    n/2 (2.a + (n-1) ×b)
    =16/2 (2.5 + (16-1) × 10)
    =8 (10 + 15 × 10)
    =8 (160)
    =1280

  • Bab Barisan dan Deret
    Matematika SMP Kelas IX

    Aritmatika
    b = (U6 - U1)/(6 - 1)
       = (55 - 5) / 5
       = 10

    Un = a + (n - 1) b
    U16 = 5 + (16 - 1) x 10
    U16 = 5 + 15 x 10
    U16 = 5 + 150
    U16 = 155

    Sn = (n/2) x (U1 + Un) 

    S16 = (16/2) x (5 + 155)
            = 8 x 160
            = 1.280

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