Difference between revisions of "1986 AIME Problems/Problem 11"
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== Problem == | == Problem == | ||
| − | + | The polynomial <math>1-x+x^2-x^3+\cdots+x^{16}-x^{17}</math> may be written in the form <math>a_0+a_1y+a_2y^2+\cdots +a_{16}y^{16}+a_{17}y^{17}</math>, where <math>\displaystyle y=x+1</math> and thet <math>\displaystyle a_i</math>'s are constants. Find the value of <math>\displaystyle a_2</math>. | |
== Solution == | == Solution == | ||
| − | + | {{solution}} | |
== See also == | == See also == | ||
* [[1986 AIME Problems]] | * [[1986 AIME Problems]] | ||
{{AIME box|year=1986|num-b=10|num-a=12}} | {{AIME box|year=1986|num-b=10|num-a=12}} | ||
Revision as of 20:25, 10 February 2007
Problem
The polynomial 
may be written in the form 
, where 
and thet 
's are constants. Find the value of 
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1986 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
