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2015 Paraguay Mathematical Olympiad
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2015 Paraguay Mathematical Olympiad
Problems
(1)
2015 Paraguayan Mathematical Olympiad: Problem 1
Source:
10/4/2015
Alexa wrote the first
16
16
16
numbers of a sequence:
1
,
2
,
2
,
3
,
4
,
4
,
5
,
6
,
6
,
7
,
8
,
8
,
9
,
10
,
10
,
11
,
…
1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 10, 11, …
1
,
2
,
2
,
3
,
4
,
4
,
5
,
6
,
6
,
7
,
8
,
8
,
9
,
10
,
10
,
11
,
…
Then she continued following the same pattern, until she had
2015
2015
2015
numbers in total. What was the last number she wrote?
algebra