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a fost răspuns

Calculati suma S=2^0+2^1+2^2+.........+2^10
S=1+2+2^2+2^3+.....+2^2020

Răspuns :

[tex]S=2^0+2+2^2+....+2^{10}|*2\\ 2S=2+2^2+2^3+...+2^{11}\\ 2S-S=2+2^2+2^3+...+2^{11}-1-2-2^2-...-2^{10}\\ S=2^{11}-1\\ Cealalta\ se\ face\ la\ fel.[/tex]

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