Difference between revisions of "2018 AMC 10A Problems/Problem 1"
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| + | ==Video Solution (Simplicity)== | ||
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| + | https://www.youtube.com/watch?v=g0o4BbECwlk&t=16s | ||
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== Video Solutions == | == Video Solutions == | ||
Latest revision as of 20:46, 26 December 2023
Contents
Problem
What is the value of
![\[\left(\left((2+1)^{-1}+1\right)^{-1}+1\right)^{-1}+1?\]](http://latex.artofproblemsolving.com/5/8/f/58f83d4d7d692d9e5ae0dbd561e9e28ef0808623.png)
Solution
For all nonzero numbers 
recall that 
is the reciprocal of 
The original expression becomes
~MRENTHUSIASM
Video Solution (Simplicity)
https://www.youtube.com/watch?v=g0o4BbECwlk&t=16s
Video Solution (HOW TO THINK CREATIVELY!)
~Education, the Study of Everything
Video Solutions
~savannahsolver
See Also
| 2018 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by First Problem |
Followed by Problem 2 | |
| 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 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
