Difference between revisions of "2007 iTest Problems/Problem 53"
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| − | Let <math>T=\text{TNFTPP}</math>. Three distinct positive Fibonacci numbers, all greater than <math>T</math>, are in arithmetic progression. Let <math>N</math> be the smallest possible value of their sum. Find the remainder when <math>N</math> is divided by <math>2007</math>. | + | Let <math>T=\text{TNFTPP}</math>. Three distinct positive Fibonacci numbers, all greater than <math>T</math>, are in arithmetic progression. Let <math>N</math> be the smallest possible value of their sum. Find the remainder when <math>N</math> is divided by <math>2007</math>. |
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Revision as of 20:26, 2 December 2015
Problem
Let 
. Three distinct positive Fibonacci numbers, all greater than 
, are in arithmetic progression. Let 
be the smallest possible value of their sum. Find the remainder when is divided by 
.
