Art of Problem Solving

1985 AIME Problems/Problem 1: Difference between revisions

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Let <math>x_1=97</math>, and for <math>n>1</math> let<math>x_n=\frac{n}{x_{n-1}}</math>. Calculate the product <math>x_1x_2x_3x_4x_5x_6x_7x_8</math>.
Let <math>x_1=97</math>, and for <math>n>1</math> let<math>x_n=\frac{n}{x_{n-1}}</math>. Calculate the product <math>x_1x_2x_3x_4x_5x_6x_7x_8</math>.
==Solution==
==Solution==
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{{solution}}
*[[USA AIME 1985 Problems/Problem 2|Next Problem]]
==See Also==
*[[1985 AIME Problems/Problem 2|Next Problem]]


*[[USA AIME 1985]]
*[[1985 AIME]]

Revision as of 20:33, 7 November 2006

Problem

Let $x_1=97$, and for $n>1$ let$x_n=\frac{n}{x_{n-1}}$. Calculate the product $x_1x_2x_3x_4x_5x_6x_7x_8$.

Solution

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See Also