Difference between revisions of "2006 AIME II Problems/Problem 13"

 
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#REDIRECT [[2006 AIME A Problems/Problem 13]]
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== Problem ==
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How many integers <math> N </math> less than 1000 can be written as the sum of <math> j </math> consecutive positive odd integers from exactly 5 values of <math> j\ge 1. </math>
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== Solution ==
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{{solution}}
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== See also ==
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{{AIME box|year=2006|n=II|num-b=12|num-a=14}}
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[[Category:Intermediate Number Theory Problems]]

Revision as of 19:10, 25 September 2007

Problem

How many integers $N$ less than 1000 can be written as the sum of $j$ consecutive positive odd integers from exactly 5 values of $j\ge 1.$

Solution

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See also

2006 AIME II (ProblemsAnswer KeyResources)
Preceded by
Problem 12
Followed by
Problem 14
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions