MathDB
Show the Given Sequence is Unique

Source: Irish Mathematical Olympiad - Paper 2 - 2008 -Question 3

May 11, 2008
number theory proposednumber theory

Problem Statement

Find a3,a4,...,a2008 a_3,a_4,...,a{}_2{}_0{}_0{}_8, such that ai=±1 a_i =\pm1 for i=3,...,2008 i=3,...,2008 and ∑i=32008ai2i=2008 \sum\limits_{i=3}^{2008} a_i2^i = 2008 and show that the numbers a3,a4,...,a2008 a_3,a_4,...,a_{2008} are uniquely determined by these conditions.
Back to ProblemsView on AoPS