Difference between revisions of "2019 AMC 12B Problems/Problem 22"

Latest revision as of 17:10, 14 February 2019

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-==Problem==
+#REDIRECT[[2019_AMC_10B_Problems/Problem_24]]
-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?
-<math>\textbf{(A) }[9,26]\qquad\textbf{(B) }[27,80]\qquad\textbf{(C) }[81,242]\qquad\textbf{(D) }[243,728]\qquad\textbf{(E) }[729,\infty)</math>
-==Solution==
-==See Also==
-{{AMC12 box|year=2019|ab=B|num-b=21|num-a=23}}