2006 AMC 10B Problems/Problem 18
Contents
[hide]Problem
Let be a sequence for which , , and for each positive integer . What is ?
Solution 1
Looking at the first few terms of the sequence:
Clearly, the sequence repeats every 6 terms.
Since ,
Solution 2
, so and because , so
~thatmathsguy
See Also
2006 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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