2002 AMC 10A Problems/Problem 16
Contents
[hide]Problem
Let . What is ?
Solution 1
Let . Since one of the sums involves and it makes sense to consider . We have . Rearranging, we have , so . Thus, our answer is .
Solution 2
Take . Now we can clearly see: . Continuing this same method with , and we get: , , , and , Adding, we see . Therefore, .
Solution 3(Video solution using [The Apple Method])
https://www.youtube.com/watch?v=rz86M2hlOGk&feature=emb_logo https://youtu.be/NRdOxPUDngI
Video Solution by OmegaLearn
https://youtu.be/tKsYSBdeVuw?t=4105
~ pi_is_3.14
Video Solution by Daily Dose of Math
~Thesmartgreekmathdude
See Also
2002 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 15 |
Followed by Problem 17 | |
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All AMC 10 Problems and Solutions |
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