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

Toán Lớp 7: tính tổng 5/1×2×3 +5/2×3×4 + 5/3×4×5+-…+5/98×99×100

Toán Lớp 7: tính tổng 5/1×2×3 +5/2×3×4 + 5/3×4×5+…….+5/98×99×100

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    5/(1.2.3)+5/(2.3.4)+5/(3.4.5)+…+5/(98.99.100)
    =5/2. (2/(1.2.3)+2/(2.3.4)+2/(3.4.5)+…+2/(98.99.100))
    =5/2. (1/1.2-1/2.3+1/2.3-1/3.4+1/3.4-1/4.5+…+1/98.99-1/99.100)
    =5/2. (1/1.2-1/99.100)
    =5/2. (1/2-1/9900)
    =5/2. 4949/9900
    =4949/3960
     

  2. $\\$
    5/(1.2.3)+5/(2.3.4)+…+5/(98 . 99 .100)
    = 5 . (1/(1.2.3) +1/(2.3.4)+…+1/(98.99.100) )
    =5 . 1/2 . (1/(1.2) – 1/(2.3)+1/(2.3) – 1/(3.4)+…+1/(98 . 99) – 1/(99 . 100)  )
    = 5/2 . (1/(1.2) – 1/(99.100) )
    = 5/2 . (1 – 1/2 – 1/99+ 1/100)
    = 5/2 . 4949/9900
    = 4949/3960

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