MathDB
Problems
Contests
National and Regional Contests
Chile Contests
Chile National Olympiad
1992 Chile National Olympiad
3
3
Part of
1992 Chile National Olympiad
Problems
(1)
no of 1/2 in a sequence of fractions(Chile NMO 1992 P3)
Source:
11/20/2021
Determine the number of times and the positions in which it appears
1
2
\frac12
2
1
in the following sequence of fractions:
1
1
,
2
1
,
1
2
,
3
1
,
2
2
,
1
3
,
4
1
,
3
2
,
2
3
,
1
4
,
.
.
.
,
1
1992
\frac11, \frac21, \frac12 , \frac31 , \frac22 , \frac13 , \frac41,\frac32,\frac23,\frac14,..., \frac{1}{1992}
1
1
,
1
2
,
2
1
,
1
3
,
2
2
,
3
1
,
1
4
,
2
3
,
3
2
,
4
1
,
...
,
1992
1
combinatorics
algebra
Fraction