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Cureleaiasmina
a fost răspuns

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

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