Difference between revisions of "2002 AMC 10B Problems/Problem 23"
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Revision as of 19:24, 28 December 2011
Problem 23
Let be a sequence of integers such that
and
for all positive integers
and
Then
is
Solution
First of all, write and
in terms of
can be represented by
in
different ways.
Since both are equal to you can set them equal to each other.
Substitute the value of back into
and substitute that into
See also
2002 AMC 10B (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 10 Problems and Solutions |