problem 2
Number Theory
Level
1
Using only digits 1, 2, 3, 4 and 5, a sequence is created as follows: one 1, two 2's, three 3's, four 4's, ve 5's, six 1's, seven 2's, and so on. the sequence appears as: 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 2, 2, ... . The 100th digit in the sequence is
4
3
1
2
5
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1 solution
ANS IS 4
14(14+1)=105
4,9,14 ARE 4'"S