MathDB

Positive integers

Source: RMO 2003, Grade 7, Problem 3

October 23, 2008

floor function

Problem Statement

For every positive integer

n

consider A_n\equal{}\sqrt{49n^2\plus{}0,35n}. (a) Find the first three digits after decimal point of

A_1

. (b) Prove that the first three digits after decimal point of

A_n

and

A_1

are the same, for every

n