2002 AMC 10B Problems/Problem 23
Revision as of 11:24, 4 July 2013 by Nathan wailes (talk | contribs)
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.