MathDB

2

Part of 1993 Canada National Olympiad

Problems(1)

Rational x and Geometric Sequence

Source: CMO 1993 Problem 2

1/25/2007
Show that the number xx is rational if and only if three distinct terms that form a geometric progression can be chosen from the sequence x, x+1, x+2, x+3,….x, ~ x+1, ~ x+2,~ x+3,\ldots .
geometric sequence