Difference between revisions of "2008 AMC 10B Problems/Problem 11"
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<center><math>u_5=2u_4+9.</math></center> | <center><math>u_5=2u_4+9.</math></center> | ||
− | This is | + | This is a system of two equations with two unknowns. Substituting gives <math>128=5u_4+18 \Longrightarrow u_4=22</math>, and <math>u_5=\frac{128-22}{2}=53 \longleftarrow \textbf{(B)}</math>. |
==See also== | ==See also== |
Revision as of 12:38, 7 June 2021
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 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 |
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