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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: 1 x2 + 3×4 + 5×6 + … + 99×100

Toán Lớp 7: 1 x2 + 3×4 + 5×6 + … + 99×100

Comments ( 2 )

  1. 1 x 2 + 3 x 4 + 5 x 6 +…+ 99 x 100
    = 2 x 1 + ( 2+1) x 4 ( 4 + 1) x 6 + ….+ ( 98 + 1) x 100
    = 2 + 2 x 4 + 4 + 4 x 6 + 6 +…+ 98 x 100 + 100
    = ( 2 x 4 + 4 x 6 +…+ 98 x 100) + ( 2 + 4 + 6 +… + 100)
    = 98 x 100 x 101 : 6 + ( 100 + 2) x 50 : 2
    = 166600 + 2550
    = 169150

  2. 1×2+3×4+5×6+…+99×100
    Gọi biểu thức trên là A ta có:
    A×3= 1×2×3+2×3×3+3×4×3+4×5×3+…+99×100×3
    A×3= 1×2×3+2×3×(4-1)+3×4×(5-2)+4×5×(6-3)+…+99×100×(101-98)
    A×3= 1×2×3+2×3×4-1×2×3+3×4×5-2×3×4+4×5×6-3×4×5+…+99×100×101-98×99×100
    A×3= 99×100×101
    A= 99×100×101:3
    A= 333300

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222-9+11+12:2*14+14 = ? ( )