2019 AMC 12B Problems/Problem 22: Difference between revisions
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==Problem== | ==Problem== | ||
Define a sequence recursively by <math>x_0 = 5</math> and | |||
<math>x_{n+1} = \frac{x_n^2 + 5x_n + 4}{x_n + 6}</math> | |||
for all nonnegative integers <math>n</math>. Let <math>m</math> be the least positive integer such that <math>x_m \leq 4 + \frac{1}{2^{20}}</math>. | |||
In which of the following intervals does <math>m</math> lie? | |||
==Solution== | ==Solution== | ||
Revision as of 16:38, 14 February 2019
Problem
Define a sequence recursively by 
and
for all nonnegative integers 
. Let 
be the least positive integer such that 
.
In which of the following intervals does lie?
Solution
See Also
| 2019 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 21 |
Followed by Problem 23 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
