Difference between revisions of "1995 IMO Problems/Problem 4"
Alapan1729 (talk | contribs) (Written the problem) |
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| − | The positive real numbers <math>x_0, x_1, x_2, x_3, x_4..... | + | The positive real numbers <math>x_0, x_1, x_2, x_3, x_4.....x_{1994}, x_{1995}</math> satisfy the relations |
| − | + | <math>x_0=x_{1995}</math> and <math>x_{i-1}+\frac{2}{x_{i-1}}=2{x_i}+\frac{1}{x_i}</math> for <math>i=1,2,3,....1995</math> | |
| − | |||
| − | <math>x_{i-1}+\frac{2}{x_{i-1}}=2{x_i}+\frac{1}{x_i}</math> for <math>i=1,2,3,....1995</math> | ||
Find the maximum value that <math>x_0</math> can have. | Find the maximum value that <math>x_0</math> can have. | ||
Revision as of 03:29, 22 April 2020
The positive real numbers 
satisfy the relations
and 
for 
Find the maximum value that 
can have.
