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

Toán Lớp 6: tính B=1 nhân 1+2 nhân 2+3 nhân 3+…+50 nhân 50

Toán Lớp 6: tính B=1 nhân 1+2 nhân 2+3 nhân 3+…+50 nhân 50

Comments ( 2 )

  1. B=1.1+2.2+3.3+…+50.50
      =1.(2-1)+2.(3-1)+3.(4-1)+…+50.(51-1)
      =1.2-1.1+2.3-2.1+3.4-3.1+…+50.51-50.1
      =(1.2+2.3+3.4+…+50.51)-(1.1+2.1+3.1+…+50.1)
      =(1.2+2.3+3.4+…+50.51)-(1+2+3+…+50)
      =$\dfrac{50.51.52}{3}$-$\dfrac{50.51}{2}$
      =44200-850
      =43350
     

  2. B = 1 . 1 + 2 . 2 + 3 . 3 + 4 . 4 +…..+ 50 . 50
    B = 1 + 4 + 9 +…+ 2500
    B = (2500 + 1) . 51 : 2
    B = 2501 . 51 : 2
    B = 127551 : 2
    B = 127551/2
     

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