题目

请解出这个数学英文应用问题:
Dogol writes a sequence of five 1-digit numbers on the blackboard He then erases two consecutive numbers and replaces them with their difference.He obtains the sequence5,0,3,5,on the board.How many possible sequences can he start with?
需要算式,没算式要原因.

提问时间：2021-03-29

答案

Doggol can start with 44 sequences:
9 4 0 3 5 , 5 0 0 3 5 , 5 0 9 6 5 , 5 0 3 9 4
8 3 0 3 5 , 5 1 1 3 5 , 5 0 8 5 5 , 5 0 3 8 3
7 2 0 3 5 , 5 2 2 3 5 , 5 0 7 4 5 , 5 0 3 7 2
6 1 0 3 5 , 5 3 3 3 5 , 5 0 6 3 5 , 5 0 3 6 1
5 0 0 3 5 , 5 4 4 3 5 , 5 0 5 2 5 , 5 0 3 5 0
4 9 0 3 5 , 5 5 5 3 5 , 5 0 4 1 5 , 5 0 3 4 9
3 8 0 3 5 , 5 6 6 3 5 , 5 0 3 0 5 , 5 0 3 3 8
2 7 0 3 5 , 5 7 7 3 5 , 5 0 0 3 5 , 5 0 3 2 7
1 6 0 3 5 , 5 8 8 3 5 , 5 0 1 4 5 , 5 0 3 1 6
0 5 0 3 5 , 5 9 9 3 5 , 5 0 2 5 5 , 5 0 3 0 5
5 0 3 6 5
5 0 4 7 5
5 0 5 8 5
5 0 6 9 5
看答案就明白了!
他把5个单数中相连的2个取走,以它门的差数补上,最后结果是
5,0,3,5 ,应该只有44个可能.