2002 AMC 12P Problems/Problem 2
Problem
The function is given by the table
If and for , find
Solution
We can guess that the series given by the problem is periodic in some way. Starting off, is given. so so so so Plugging in will give us again, and plugging in will give us , etc. meaning that the function is periodic like we guessed. To sum up our findings in a nice table,
See also
2002 AMC 12P (Problems • Answer Key • Resources) | |
Preceded by Problem 1 |
Followed by Problem 3 |
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All AMC 12 Problems and Solutions |
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