Matematika

Pertanyaan

Tolong bantu jawab No. 7
Please kak
Tolong bantu jawab No. 7 Please kak

1 Jawaban

  • 7a) 2 + 4 + 6 + 8 + 10 + ... + 100

    a = 2
    b = 2
    n = 100/2 = 50

    Sn = 1/2(n)[2a + (n - 1)b]
    S50 = 1/2(50)[2(2) + (50 - 1) × 2]
    S50 = 25[4 + 49 × 2]
    S50 = 25[4 + 98]
    S50 = 25 × 102
    S50 = 2550

    b) -1 + 2 - 3 + 4 - 5 + 6 - 7 + 8 - ... + 100
    -1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 -.....(× 50)
    n = 100/2 = 50

    Sn = (-1) × n
    S50 = (-1) × 50
    S50 = -50


    c) -100 - 99 - 98 - .. - 2 - 1 - 0 + 1 + 2 + ... + 97 + 98 + 99

    (-99 - 98 - ...- 2 - 1 - 0 + 1 + 2 + ...+ 97 + 98 + 99)
    = 0

    sisa satu angka yaitu - 100

    Sn = -100