Difference between revisions of "2018 AMC 10A Problems/Problem 1"
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== Problem == | == Problem == | ||
What is the value of | What is the value of | ||
− | <cmath>\left(\left((2+1)^{-1}+1\right)^{-1}+1\right)^{-1}+1?</cmath | + | <cmath>\left(\left((2+1)^{-1}+1\right)^{-1}+1\right)^{-1}+1?</cmath> |
− | + | <math>\textbf{(A) } \frac58 \qquad \textbf{(B) }\frac{11}7 \qquad \textbf{(C) } \frac85 \qquad \textbf{(D) } \frac{18}{11} \qquad \textbf{(E) } \frac{15}8 </math> | |
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− | - | + | == Solution == |
+ | |||
+ | Working it out gives you <math>\boxed{\textbf{(B) } 11/7}</math>. | ||
+ | |||
+ | == Video Solutions == | ||
+ | https://youtu.be/vO-ELYmgRI8 | ||
+ | |||
+ | https://youtu.be/cat3yTIpX4k | ||
+ | |||
+ | ~savannahsolver | ||
+ | |||
+ | https://youtu.be/19mpsCcQzY0 | ||
+ | |||
+ | ~Education, the Study of Everything | ||
== See Also == | == See Also == | ||
− | |||
{{AMC10 box|year=2018|ab=A|before=First Problem|num-a=2}} | {{AMC10 box|year=2018|ab=A|before=First Problem|num-a=2}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 12:47, 2 February 2021
Contents
Problem
What is the value of
Solution
Working it out gives you .
Video Solutions
~savannahsolver
~Education, the Study of Everything
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.