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Rezultatul calculului 2la puterea1+2la puterea 2+2la puterea 3…+2la puterea 100
DAU CORONITE ,MULTUMIRI SI 69 DE PUNCTE


Răspuns :

A=2+2^2+2^3+...+2^100

2A=2x(2+2^2+2^3+...+2^100)

2A=2^2+2^3+2^4+...+2^101, adunam 2

2A+2=2+2^2+2^3+2^4+...+2^101

2A+2=(2+2^2+2^3+2^4+...+2^100)+2^101

2A+2=A+2^101

A=2^101 -2