Matematika

Pertanyaan

Diketahui suatu deret aritmatika u5=15 dan u14=51.hitunglah jumlah suku pertama

2 Jawaban

  • B= 51-15/14-5 =36/9=4

    U5= u1+(n-1)b
    15=u1+(4)4
    15=u1+16
    U1=15-16
    U1=-1

    Semoga bermanfaat
  • U5 = 15
    U5 = a + 4b
    15 = a + 4b (persamaan 1)

    U14 = 51
    U14 = a + 13b
    51 = a + 13b (persamaan 2)

    a +. 4b = 15
    a + 13b = 51
    ------------------- -
    -9b = -36
    b = -36/-9
    b = 4

    a + 4b = 15
    a + 4(4) = 15
    a + 16 = 15
    a = 15 - 16
    a = -1

    n = 1

    Sn = n/2 × (2a + (n - 1) × b)
    S1 = 1/2 × (2(-1) + (1 - 1) × 4)
    S1 = 1/2 × (-2 + 0(4))
    S1 = 1/2 × (-2 + 0)
    S1 = 1/2 × (-2)
    S1 = -1

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