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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*[[ | ==See Also== | ||
*[[1985 AIME Problems/Problem 2|Next Problem]] | |||
*[[ | *[[1985 AIME]] | ||
Revision as of 20:33, 7 November 2006
Problem
Let
, and for
let
. Calculate the product
.
Solution
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