Difference between revisions of "2007 Alabama ARML TST Problems/Problem 9"
(New page: ==Problem== Let <math>F_1=F_2=1</math>, and <math>F_{n+2}=F_{n+1}+F_n</math> for <math>n\geq 1</math>. Find the value of <math>k</math> such that <math>x=F_k</math> is the <math>x</math>-c...) |
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Revision as of 09:20, 18 June 2008
Problem
Let , and for . Find the value of such that is the -coordinate of the intersection between the linear equations
Solution
We subtract equations:
We can see the pattern:
Thus
Therefore and .
See also
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