Matematika

Pertanyaan

1. 410 + 430 + 450 +... s20 : ...
2. 906 + 900 + 894 + ... s30 : ...

2 Jawaban

  • Bab Barisan dan Deret
    Kelas 9 SMP
    Matematika

    Aritmatika Naik

    a = 410
    b = 430 - 410
       = 20

    U20 = 410 + (20 - 1) 20
            = 410 + 380
            = 790

    S20 = 20/2 (410 + 790)
           = 10 (1200)
           = 12000


    Aritmatika Turun


    a = 906
    b = 900 - 906
       = -6


    U30 = 906 + (30 - 1) -6
           = 906 + -174
           = 732

    S30 = 30/2 (906 + 732)
           = 15 (1638)
           = 24570

    Semoga Membantu!!!
  • Nomor 1 :
    Sn = n/2 (2a + (n-1)b)
    S20 = 20/2 (2 x 410 + (20-1)20)
    S20 = 10 ( 820 + 19 x 20)
    S20 = 10 (820 + 380)
    S20 = 10 x 1200
    S20 = 12.000

    Nomor 2
    S30 = 30/2 (2 x 906 + (30 - 1)-6)
    S30 = 15 (1812 + 29 x -6)
    S30 = 15 (1812 + (-174))
    S30 = 15 x 1638
    S30 = 24570

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