Mathegoras

Sequences and series › Number patterns › Fraction sequences

Position of a fraction in a sequence

High school · ●●●○○ 50 pts

The positive rational numbers are arranged in the order 11,21,12,31,22,13,41,32,23,14,⋯\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}, \cdots. Find the position number of the number 19891949\frac{1989}{1949} in this sequence.

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