Difference between revisions of "Mock AIME 3 Pre 2005 Problems/Problem 8"

Revision as of 09:26, 4 April 2012

Let $N$ denote the number of $8$ -tuples $(a_1, a_2, \dots, a_8)$ of real numbers such that $a_1 = 10$ and

$\left|a_1^{2} - a_2^{2}\right| = 10$

$\left|a_2^{2} - a_3^{2}\right| = 20$

$\cdots$

$\left|a_7^{2} - a_8^{2}\right| = 70$

$\left|a_8^{2} - a_1^{2}\right| = 80$

Determine the remainder obtained when $N$ is divided by $1000$ .

This problem needs a solution. If you have a solution for it, please help us out by adding it.

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 {{solution}}
-==See also==
+==See Also==
+{{Mock AIME box|year=Pre 2005|n=3|num-b=7|num-a=9}}

Mock AIME 3 Pre 2005 (Problems, Source)
Preceded by Problem 7	Followed by Problem 9
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15