Matematika

Pertanyaan

Hitunglah jumlah 30 suku pertama dari masing-masing barisan berikut a. 9,11,13,15,.... ,b. 150,147,144,141,.... , c. 2,7,12,17,....

2 Jawaban

  • a.
    nilai a = 9
    nilai b = 2
    U30 = a + 29b
    U30 = 9 + 29(2)
    U30 = 67

    Maka
    S30 = n/2 (a + U30)
    S30 = (30/2)(9 + 67)
    S30 = 1140
  • #A
    Dik. Barisan deret aritmatika : 9, 11, 13, 15... 
    Dit. S30??

    Jawab...

    a  = 9
    b = u2 - u1 = 11 - 9 = 2

    Sn = n/2 (2a + (n-1) b)
    S30 = 30/2 (2(9) + (29)(2))
    S30 = 15 (18+58)
    S30 = 15 (76)
    S30 = 1140

    #B
    Dik. Barisan deret aritmatika : 150, 147, 144, 141... 
    Dit. S30 ?

    Jawab...

    a = 150
    b = u2 - u1 = 147 - 150 = -3

    Sn = n/2 (2a + (n-1)b)
    S30 = 30/2 (2(150) + (29) (-3))
    S30 = 15 (300 - 87)
    S30 = 15 (213)
    S30 = 3a95

    #C
    Dik. Barisan deret aritmatika : 2,7, 12, 17, ...
    Dit. S30 ?

    Jawab...

    a = 2
    b = u2 - u1 = 7 - 2 = 5

    Sn = n/2 (2a + (n - 1) b)
    S30 = 30/2 (2(2) + (29)(5))
    S30 = 15 (4 + 145)
    S30 = 15 (149)
    S30 = 2235

    Semoga membantu... ^_^

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