Difference between revisions of "1992 AIME Problems/Problem 8"

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== See also ==
 
== See also ==
* [[1992 AIME Problems/Problem 7 | Previous Problem]]
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{{AIME box|year=1992|num-b=7|num-a=9}}
 
 
* [[1992 AIME Problems/Problem 9 | Next Problem]]
 
 
 
* [[1992 AIME Problems]]
 

Revision as of 14:58, 11 March 2007

Problem

For any sequence of real numbers $A=(a_1,a_2,a_3,\ldots)$, define $\Delta A^{}_{}$ to be the sequence $(a_2-a_1,a_3-a_2,a_4-a_3,\ldots)$, whose $n^\mbox{th}_{}$ (Error compiling LaTeX. Unknown error_msg) term is $a_{n+1}-a_n^{}$. Suppose that all of the terms of thet sequence $\Delta(\Delta A^{}_{})$ are $1^{}_{}$, and that $a_{19}=a_{92}^{}=0$. Find $a_1^{}$.

Solution

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See also

1992 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
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All AIME Problems and Solutions