This is a famous poem written by Cheng Dawei, a mathematician in Ming Dynasty. Beautiful writing, catchy reading and interesting calculation can be said to be the best of several poems compiled by Cheng Dawei.

The meaning of the topic can be:

There is a tall and majestic seven-story pagoda. Red lanterns are hung on each floor. Although I don't know the number of lights on each floor, I know that the number of lights on each floor is twice that on the previous floor from top to bottom. I know there are 38 1 lights in total. Q: How many lights are there on each floor of this pagoda?

Obviously, there are fewer lights on the top and more lights on the bottom of this pagoda. Now, if the number of lights on the first floor (top floor) is 1, then the number of lights on the second floor to the seventh floor (bottom floor) is 1×2=2, 2×2=4, 4×2=8, 8×2= 16, 6544 respectively. The total number of copies is (1+2+4+8+ 16+32+64), so the number of lights in each copy (that is, the number of lights on the top floor) is

38 1 ÷ ( 1+2+4+8+ 16+32+64) = 38 1 ÷ 127 = 3.

The number of lamps on the second floor from top to bottom is 3×2=6 (lamps); The number of lamps on the third floor is 6×2= 12 (lamps); The number of lights on the fourth floor is 12×2=24 (lights); The number of lamps on the fifth floor is 24×2=48 (lamps); The number of lights on the sixth floor is 48×2=96 (lights); The number of lights on the seventh floor (ground floor) is 96×2= 192 (lights). (short answer)

/RESOURCE/XX/xxxx/SXBL/bl 000036/8806 _ SR . HTM