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1+2+2^2+2^3+...+2^100
Repedee


Răspuns :

A=1+2+2²+2³+...+2⁹⁹+2¹⁰⁰

2A=2+2+2³+...+2¹⁰⁰+2¹⁰¹=>

2A-A=2+2²+2³+...+2¹⁰⁰+2¹⁰¹-(1+2+2²+...+2⁹⁹+2¹⁰⁰)

A=2¹⁰¹-1