The art of Mathematics

Algebra Level 2

1 2 ( ∑ k = 0 12 ( 12 k ) ) − 34 = ? \large \dfrac12 \left( \sum_{k=0}^{12} \dbinom{12}{k} \right) - 34 = \ ?

2015 2014 2012 2013

Reda Boushab by Reda Boushab , 25, Morocco

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1 solution

Maria Kozlowska
Oct 1, 2015

By binomial theorem this expression is equivalent to: 1 2 ( 1 + 1 ) 12 − 34 = 2014 \frac{1}{2} (1+1)^{12} - 34 = 2014

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