Difference between revisions of "AoPS Wiki:Problem of the Day/September 5, 2011"

 
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2(1+1/2+1/4+1/8+1/16+1/32+1/64+1/128+...)=?????
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Find
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<cmath>2\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}+\cdots\right).</cmath>
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<noinclude>[[category:Problem of the Day]]</noinclude>

Latest revision as of 08:26, 7 September 2011

Find \[2\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}+\cdots\right).\]