Question

CMR : 31/2.32/2....60/2 = 1.3.5...59

Answer 1

 ta có:31/2.32.2....60.2=31.32...60/2^30=(31.32.33....60).((1.2.3...30)/2^30.(1.2.3...30)=(1.3.5..59).(2.4.6...60)/(2.4.6...60)=1.3.5...59

Answer 2

Ta biến đổi vế phải thành vế trái:

1.3.5....59=1.3.5...59.\(\frac{2.4.6.....60}{2.4.6.....60}=\frac{1.2.3.4.....60}{\left(1.2.3....30\right).\left(2.2.2.....2\right)}=\frac{31.32......60}{2.2.......2}=\frac{31}{2}.\frac{32}{2}.....\frac{60}{2}\)

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