MathDB

2

Part of 2000 Finnish National High School Mathematics Competition

Problems(1)

Classic integer part

Source: Finnish Mathematics Competition 2000, Final Round, Problem 2

11/14/2011
Prove that the integral part of the decimal representation of the number (3+5)n(3+\sqrt{5})^n is odd, for every positive integer n.n.
calculusintegrationnumber theory unsolvednumber theory