Difference between revisions of "2006 AMC 12A Problems/Problem 23"
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Revision as of 19:25, 2 February 2007
Problem
Given a finite sequence of real numbers, let be the sequence
of real numbers. Define and, for each integer , , define . Suppose , and let . If , then what is ?
Solution
In general, such that has terms. Specifically, To find x, we need only solve the equation . Algebra yields .
See also
2006 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 22 |
Followed by Problem 24 |
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 12 Problems and Solutions |