Difference between revisions of "1994 AIME Problems/Problem 3"
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== Problem == | == Problem == | ||
| + | The function <math>f_{}^{}</math> has the property that, for each real number <math>x,\,</math> | ||
| + | <center><math>f(x)+f(x-1) = x^2\,</math></center>. | ||
| + | If <math>f(19)=94,\,</math> what is the remainder when <math>f(94)\,</math> is divided by 1000? | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=1994|num-b=2|num-a=4}} | |
Revision as of 23:22, 28 March 2007
Problem
The function 
has the property that, for each real number 
.
If 
what is the remainder when 
is divided by 1000?
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1994 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
