Difference between revisions of "2002 AIME II Problems/Problem 3"
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== Problem == | == Problem == | ||
| − | + | 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 integers that form an increasing geometric sequence and <math>b - a</math> is the square of an integer. Find <math>a + b + c.</math> | |
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 18:16, 16 April 2008
Problem
It is given that 
where 
and 
are positive integers that form an increasing geometric sequence and 
is the square of an integer. Find 
Solution
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