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Problems
Contests
National and Regional Contests
Bosnia Herzegovina Contests
JBMO TST - Bosnia and Herzegovina
2005 Bosnia and Herzegovina Junior BMO TST
3
3
Part of
2005 Bosnia and Herzegovina Junior BMO TST
Problems
(1)
In which position of this sequence is 2005/ 2004 ?
Source: 2005 Bosnia & Herzegovina JBMO TST p3
5/27/2020
Rational numbers are written in the following sequence:
1
1
,
2
1
,
1
2
,
3
1
,
2
2
,
1
3
,
4
1
,
3
2
,
2
3
,
1
4
,
.
.
.
\frac{1}{1},\frac{2}{1},\frac{1}{2},\frac{3}{1},\frac{2}{2},\frac{1}{3},\frac{4}{1},\frac{3}{2},\frac{2}{3},\frac{1}{4}, . . .
1
1
,
1
2
,
2
1
,
1
3
,
2
2
,
3
1
,
1
4
,
2
3
,
3
2
,
4
1
,
...
In which position of this sequence is
2005
2004
\frac{2005}{2004}
2004
2005
?
Sequence
algebra