Difference between revisions of "1993 AIME Problems/Problem 5"
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== Problem == | == Problem == | ||
| + | Let <math>P_0(x) = x^3 + 313x^2 - 77x - 8\,</math>. For integers <math>n \ge 1\,</math>, define <math>P_n(x) = P_{n - 1}(x - n)\,</math>. What is the coefficient of <math>x\,</math> in <math>P_{20}(x)\,</math>? | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=1993|num-b=4|num-a=6}} | |
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Revision as of 00:06, 26 March 2007
Problem
Let 
. For integers 
, define 
. What is the coefficient of 
in 
?
Solution
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See also
| 1993 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
