2018 AMC 10A Problems/Problem 1

Problem

What is the value of $\left(\left((2+1)^{-1}+1\right)^{-1}+1\right)^{-1}+1?$ $\textbf{(A) } \frac58 \qquad \textbf{(B) }\frac{11}7 \qquad \textbf{(C) } \frac85 \qquad \textbf{(D) } \frac{18}{11} \qquad \textbf{(E) } \frac{15}8$

Solution

Working through the parentheses with the negative powers results in $\textbf{(B).}$

2018 AMC 10A (Problems • Answer Key • Resources)
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All AMC 10 Problems and Solutions

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2018 AMC 10A Problems/Problem 1

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