Matematika

Pertanyaan

1Tentukan nilai dari
A. 2+7+12+....+297
B. 30+26+22+...+2

2. Tentukan x jika
A. 100+96+92+....+x=0
B. 1+4+7+....+x=835

Tolongg dibantuu ya guyss >< tq

1 Jawaban

  • 1•
    A. Barisan Aritmatika
    2 + 7 + 12 + ... + 297
    a = 2
    b = 5
    n = (297 - 2)/5 + 1 = 60

    2 + 7 + ... + 297 = S60

    S60 = (n/2)(a + Un)
    S60 = 30(2 + 297)
    S60 = 8970

    B. Barisan Aritmatika
    30 + 26 + 22 + ... + 2 = S8
    a = 30
    b = -4
    n = (2 - 30)/-4 + 1 = 8

    S8 = (4)(30 + 2) = 128

    2•
    100 + 96 + 92 + ... + x = 0
    a = 100
    b = -4

    Sn = (n/2)(2a + (n - 1)b)
    0 = n(200 + (n - 1)(-4))
    0 = 204n - 4n²
    O = 4n(51 - n)
    n = 51

    x = U51 = a + 50b = 100 - 200 = -100

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