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calculati :1+2+2^2+2^3+...+2^2016

Răspuns :

S=1+2+2'2+2'3+...+2'2016
2S=2+2'2+2'3+2'4+...+2'2016+2'2017

2S=S-2'2017+1
2S-S=2'2017 -1
S=2'2017-1