MathDB

sequence

Source: Ireland 1994

June 29, 2009

inductionalgebra unsolvedalgebra

Problem Statement

A sequence

(x_n)

is given by x_1\equal{}2 and nx_n\equal{}2(2n\minus{}1)x_{n\minus{}1} for

n>1

. Prove that

x_n

is an integer for every

n \in \mathbb{N}