Difference between revisions of "2007 iTest Problems/Problem 47"
(Created page with "== Problem == Let <math>\{X_n\}</math> and <math>\{Y_n\}</math> be sequences defined as follows: <math>X_0=Y_0=X_1=Y_1=1</math>, <cmath>\begin{align*}X_{n+1}&=X_n+2X_{n-1}\qqu...") |
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== Solution == | == Solution == | ||
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+ | {{iTest box|year=2007|num-b=46|num-a=48}} |
Revision as of 12:23, 6 April 2024
Problem
Let and
be sequences defined as follows:
,
Let be the largest integer that satisfies all of the following conditions:
, for some positive integer
;
, for some positive integer
; and
.
Find the remainder when
is divided by
.
Solution
1447
See Also
2007 iTest (Problems, Answer Key) | ||
Preceded by: Problem 46 |
Followed by: Problem 48 | |
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