Matematika

Pertanyaan

a.2+4+6+8+10+.............+100
b.-1+2+-3+4+-5+6+-7+8............100
c.-100-99-98-......-2-1-0+1+2+......+97+98+99

1 Jawaban

  • A•
    2 + 4 + ... + 98 + 100 ada 50 suku
    = (2 + 98) + (4 + 96) + ... + (48 + 52) + 50 + 100
    = (100 × 24) + 50 + 100
    = 2550

    B•
    (-1 + 2) + (-3 + 4) + ... + (-99 + 100) ada 100 suku
    = (1) + (1) + ... + (1) + (1)
    = (1) × 100/2
    = 50

    C•
    -100 - 99 - 98 - ... - 1 + 0 + 1 + 2 + ... + 98 + 99

    = -100 + (-99 + 99) + (-98 + 98) + ... + 0
    = -100 + 0 + .. + 0
    = -100

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