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Calculati: 1/2-1/2^2-1/2^3-...1/2^2012.

Răspuns :

Vom aoplica asociativitatea "adunarii"=sumei algebrice

1/2-1/2²=1/2²

1/2²-1/2³=1/2³

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1/2^2011-1/2^2012=1/2^2012