MathDB

4

Part of 1998 Irish Math Olympiad

Problems(2)

disks

Source: Ireland 1998

7/4/2009
Show that a disk of radius 2 2 can be covered by seven (possibly overlapping) disks of radius 1 1.
geometry unsolvedgeometry
find a term of a sequence

Source: Ireland 1998

7/4/2009
A sequence (xn) (x_n) is given as follows: x0,x1 x_0,x_1 are arbitrary positive real numbers, and x_{n\plus{}2}\equal{}\frac{1\plus{}x_{n\plus{}1}}{x_n} for n≥0 n \ge 0. Find x1998 x_{1998}.
algebra proposedalgebra