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2017 AMC 10A Problem 1

Problem 1 of 25EasierArithmetic

What is the value of the following expression? 2(2(2(2(2(2+1)+1)+1)+1)+1)+1 \begin{aligned} &2(2(2(2(2(2+1)+1)\\ &\qquad{}+1)+1)+1)+1 \end{aligned}

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Solution

Starting with the innermost 2+1,2+1, each new layer doubles the current value and adds 1.1. The successive values are 3,7,15,31,63,127.3,7,15,31,63,127. Thus, C is the correct answer.
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Tagged: whole number operations

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