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no of 1/2 in a sequence of fractions(Chile NMO 1992 P3)

Source:

November 20, 2021
combinatoricsalgebraFraction

Problem Statement

Determine the number of times and the positions in which it appears 12\frac12 in the following sequence of fractions: 11,21,12,31,22,13,41,32,23,14,...,11992 \frac11, \frac21, \frac12 , \frac31 , \frac22 , \frac13 , \frac41,\frac32,\frac23,\frac14,..., \frac{1}{1992}
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