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

Toán Lớp 6: a, A=1×2+2×3+3×4+-+98×99 b, B=1×2+3×4+5×6+-+99×100

Toán Lớp 6: a, A=1×2+2×3+3×4+….+98×99
b, B=1×2+3×4+5×6+….+99×100

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a) A= 1×2+2×3+3×4+…+98×99
    A x 3= 1×2 x (3-0) +2x3x (4-1)+3×4 x (5-2)+…+98x99x (100-97)
    A = 1x2x3+2x3x4+……98x99x100- (1x2x0+ 2x3x1+….+ 98x99x97)
    A= 98x99x100
    A= 9702 × 100
    A = 970200
    b)
    B = 1×2 + 2×3 + 3×4 + 4×5 + …+ 99×100
    B x 3 = 1x2x3 + 2x3x3 + 3x4x3 + 4x5x3 + … + 99x100x3
    B x 3 = 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + 4x5x(6-3) + … + 99x100x(101-98)
    B x 3 = 1x2x3 + 2x3x4 – 1x2x3 + 3x4x5 – 2x3x4 + 4x5x6 – 3x4x5 + … + 99x100x101 – 98x99x100.
    B x 3 = 99x100x101
    B = 99x100x101 : 3
    B = 333300

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a) A= 1×2+2×3+3×4+…+98×99
    A x 3= 1×2 x (3-0) +2x3x (4-1)+3×4 x (5-2)+…+98x99x (100-97)
    A = 1x2x3+2x3x4+……98x99x100- (1x2x0+ 2x3x1+….+ 98x99x97)
    A= 98x99x100
    A= 9702 × 100
    A = 970200
    b)
    B = 1×2 + 2×3 + 3×4 + 4×5 + …+ 99×100
    B x 3 = 1x2x3 + 2x3x3 + 3x4x3 + 4x5x3 + … + 99x100x3
    B x 3 = 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + 4x5x(6-3) + … + 99x100x(101-98)
    B x 3 = 1x2x3 + 2x3x4 – 1x2x3 + 3x4x5 – 2x3x4 + 4x5x6 – 3x4x5 + … + 99x100x101 – 98x99x100.
    B x 3 = 99x100x101
    B = 99x100x101 : 3
    B = 333300
    cho xin câu trả lời hay nhất ạ

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

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