Difference between revisions of "2021 AMC 12B Problems/Problem 3"
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+ | ~Education, the Study of Everything | ||
==See Also== | ==See Also== | ||
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Revision as of 01:12, 19 August 2022
Contents
[hide]Problem
SupposeWhat is the value of
Solution
Subtracting from both sides and taking reciprocals gives . Subtracting from both sides and taking reciprocals again gives . Subtracting from both sides and taking reciprocals for the final time gives or .
~ OlympusHero
Video Solution by Punxsutawney Phil
https://youtube.com/watch?v=qpvS2PVkI8A&t=127s
Video Solution by OmegaLearn (Algebraic Manipulations)
~ pi_is_3.14
Video Solution by Hawk Math
https://www.youtube.com/watch?v=VzwxbsuSQ80
Video Solution by TheBeautyofMath
https://youtu.be/EMzdnr1nZcE?t=384
~IceMatrix
Video Solution
~Education, the Study of Everything
See Also
2021 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 2 |
Followed by Problem 4 |
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.