Difference between revisions of "2008 AMC 10B Problems/Problem 11"
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Revision as of 12:14, 26 December 2016
Problem
Suppose that is a sequence of real numbers satifying ,
and that and . What is ?
Solution
Plugging in , we get
Plugging in , we get
This is simply a system of two equations with two unknowns. Substituting gives , and .
See also
2008 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.