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

Toán Lớp 7: Tìm giá trị củaA= 66 x 65 – 65 x 64 + 64 x 63 – 63 x 62 +…+ 4 x 3 – 3 x 2 + 2 x 1

Toán Lớp 7: Tìm giá trị củaA= 66 x 65 – 65 x 64 + 64 x 63 – 63 x 62 +…+ 4 x 3 – 3 x 2 + 2 x 1

Comments ( 1 )

  1. A = 66 x 65 – 65 x 64 + 64 x 63 – 63 x 62 +…+ 4 x 3 – 3 x 2 + 2 x 1
       = (66 x 65 – 65 x 64) + (64 x 63 – 63 x 62) +…+ (4 x 3 – 3 x 2) + 2 x 1
       = 65. (66 – 64) + 63. (64 – 62) + … + 3. (4 – 2) + 2. 1
       =     65. 2        +     63. 2         + … +    3. 2      + 1. 2
       = 2. (65 + 63 + … + 3 + 1)
    Đặt B =  65 + 63 + …. + 3 + 1 
              =  1 + 3 + … + 63 + 65
              = [(65 – 1) : 2 + 1]. [(65 + 1): 2)
              = (64 : 2 + 1). (66: 2)
              = 33. 33
              = 1089
    ⇒ A = 2. 1089
           = 2178

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

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