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 so Plugging in will give us as found before, and plugging in will give and so on. This means that our original guess of the series being periodic was correct. Summing up our findings in a nice table (which you would immediately do because this is literally problem ),
$$ (Error compiling LaTeX. Unknown error_msg)
See also
2002 AMC 12P (Problems • Answer Key • Resources) | |
Preceded by Problem 1 |
Followed by Problem 3 |
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.