Question

B=1.2.3+2.3.4+3.4.5+...............+20.21.22

Tính nhanh B ?

Answer 1

Ta có:

B=1.2.3+2.3.4+3.4.5+...+20.21.22

=>4B=1.2.3(4-0)+2.3.4(5-1)+3.4.5(6-2)+...+20.21.22(23-19)

<=>4B=1.2.3.4+2.3.4.5-1.2.3.4+3.4.5.6-2.3.4.5+...+20.21.22.23-19.20.21.22

<=>4B=20.21.22.23

<=>B=5.21.22.23=53130

Answer 2

53130

Answer 3

Ta có:

B=1.2.3+2.3.4+3.4.5+...+20.21.22

=>4B=1.2.3(4-0)+2.3.4(5-1)+3.4.5(6-2)+...+20.21.22(23-19)

<=>4B=1.2.3.4+2.3.4.5-1.2.3.4+3.4.5.6-2.3.4.5+...+20.21.22.23-19.20.21.22

<=>4B=20.21.22.23

<=>B=5.21.22.23=53130