Difference between revisions of "2008 AMC 10B Problems/Problem 11"
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==Problem== | ==Problem== | ||
{{Suppose that <math>(u_n)</math> is a serquence of real numbers satifying <math>u_{n+2}=2u_{n+1}+u_n</math>, | {{Suppose that <math>(u_n)</math> is a serquence of real numbers satifying <math>u_{n+2}=2u_{n+1}+u_n</math>, |
Revision as of 17:35, 10 August 2008
Contents
Problem
{{Suppose that is a serquence of real numbers satifying ,
and that and . What is ?
(A) 40 (B) 53 (C) 68 (D) 88 (E) 104}}
Solution
{{We konw that , so we plug in to get . We plug in to get
. Substituting gives
This gives .
Answer B is the correct answer
NOTE: This is my (BOGTRO) solution, not the official one,
and should be ignored in view of a better solution.}}
See also
2008 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Problem 11 | |
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 |
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 |