The second day olympiad math problems and answers: seeking the law 6. Find the pattern through the numbers given, and write the following numbers. This question is moderately difficult. Please let the second-year students answer carefully first, and then look at the following answers.

Topic: Observe the first few items of the series, find out the rules, and write 100 items of the series.

12345,2345 1,345 12,45 123,……

Find a conventional answer:

In order to find the pattern, write a few more:

12345,2345 1,345 12,45 123,5 1234, 12345,2345 1,345 12,45 123,5 1234, 12345,2345 1……

After careful observation, it can be found that the sixth item of the series is the same as the 1 item, the seventh item is the same as the second item, and the eighth item is the same as the third item ... That is to say, the items of the series appear periodically, they appear cyclically, and a cyclic segment contains five items. 100÷5=20

It can be seen that the item 100 is the same as the item 5 and the item 10 (the number of items can be divisible by 5), that is, the item 100 is 5 1234.