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

Toán Lớp 6: S=2×3 +3×4 +4×5 +-..+ 34×35

Toán Lớp 6: S=2×3 +3×4 +4×5 +……+ 34×35

Comments ( 1 )

  1. Giải đáp:
    S = 14278
    Lời giải và giải thích chi tiết:
    S = 2 . 3 + 3 . 4 + 4 . 5 + … + 34 . 35
    3S = 3 . ( 2 . 3 + 3 . 4 + 4 . 5 + … + 34 . 35 )
    3S = 2 . 3 . 3 + 3 . 4 . 3 + 4 . 5 . 3 + … + 34 . 35 . 3
    3S = 2 . 3 . (4 – 1) + 3 . 4 . (5 – 2) + … + 34 . 35 . (36 – 33)
    3S = 2 . 3 . 4 – 2 . 3 + 3 . 4 . 5 – 2 . 3 . 4 + … + 34 . 35 . 36 – 33 . 34 . 35
    3S = (2 . 3 . 4 – 2 . 3 . 4) +…  (33 . 34 . 35 – 33 . 34 . 35) + 34 . 35 . 36 – 2 . 3
    3S = 34 . 35 . 36 – 6
    3S = 42834
    => S = 42834 : 3 = 14278
    Vậy S = 14278

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