Matematika

Pertanyaan

a. 1+3+5+7+9+...+99
b. 1-2+3-4+5-6+7-8+...-100
c.-100-99-98-...-2-1-0+1+2+...+48+49+50

1 Jawaban

  • A.
    A= 1
    B = 3-1 = 2
    Banyak suku :
    = 99/2
    = 49,5 (50)

    S50 :
    = n/2 (a + Un)
    = 50/2 (1 + 99)
    = 25 x 100
    = 2500

    B.
    1 -2 = -1
    3-4 = -1
    .. - .. = -1
    99 -100 = -1

    Banyak kali penjumlahan :
    = 100/2
    = 50

    Maka hasilnya :
    = 50 x (-1)
    = -50

    C.
    A = -100
    B = -99 - (-100) = 1
    Banyak suku :
    = 100 + 1 + 50
    = 151

    S151 :
    = n/2 (a + Un)
    = 151/2 (-100 + 50)
    = 75,5 x (-50)
    = -3775

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