Unformatted text preview: 4. Let ( x i ,y i ), i = 1 , 2 , 3 , 4 , 5 be a set of ﬁve distinct points with integer coordinates in the xy plane. Show that the midpoint of the line joining at least one pair of these points has integer coordinates. 5. For n ∈ Z + , consider the following sum n X i =1 1 (2 i-1)(2 i + 1) . make a conjecture about the formula for the exact value of this sum, and prove your conjecture....
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This note was uploaded on 02/13/2012 for the course MATH 302 taught by Professor Staff during the Spring '08 term at Texas A&M.
- Spring '08