Matematika

Pertanyaan

1+3+5+7+9+…+99 tolong ya pake cara

1 Jawaban

  • a = U1 = 1
    b = U2-U1 = 3-1 = 2
    Un = 99
    maka
    Un = 99
    a+(n-1).b = 99
    1+(n-1).2 = 99
    1+2n-2 = 99
    2n-1 = 99
    2n = 99+1
    2n = 100
    n = 100:2
    n = 50

    jadi,
    Sn = n/2 . (2a+(n-1).b)

    S50
    = 50/2 . (2.1+(50-1).2)
    = 25 . (2+49.2)
    = 25 . (2+98)
    = 25 . 100
    = 2500

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