Difference between revisions of "2002 AIME II Problems"
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== Problem 3 == | == Problem 3 == | ||
| + | It is given that <math>\log_{6}a + \log_{6}b + \log_{6}c = 6,</math> where <math>a,</math> <math>b,</math> and <math>c</math> are [[positive]] [[integer]]s that form an increasing [[geometric sequence]] and <math>b - a</math> is the [[Perfect square|square]] of an integer. Find <math>a + b + c.</math> | ||
[[2002 AIME II Problems/Problem 3|Solution]] | [[2002 AIME II Problems/Problem 3|Solution]] | ||
Revision as of 08:46, 17 April 2008
Contents
Problem 1
Problem 2
Problem 3
It is given that 
where 
and 
are positive integers that form an increasing geometric sequence and 
is the square of an integer. Find 
