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Alexmihay2000
a fost răspuns

CUM SE CALCULEAZA UN ASTFEL DE EXERCITIU : 1+2⁰ + 2¹ + 2² +.....+2⁹⁹⁹
Va rogg !!!! Maine am examen!!!

Răspuns :

Dulibaruben
1+2⁰ + 2¹ + 2² +.....+2⁹⁹⁹= 2⁰+2⁰+2¹++2²+...+2⁹⁹⁹=2·2⁰+2¹+2²+...+2⁹⁹⁹=2¹··2⁰+2¹+2²+...+2⁹⁹⁹=2¹⁺⁰+2¹+2²+...+2⁹⁹⁹=2¹+2¹+2²+...+2⁹⁹⁹=2·2¹+2²+...+2⁹⁹⁹=2¹·2¹+2²+...+2⁹⁹⁹=2¹⁺¹+2²+...+2⁹⁹⁹=2²+2²+...+2⁹⁹⁹=...........................................................................=2·2⁹⁹⁹=2¹·2⁹⁹⁹=2¹⁺⁹⁹⁹=2¹⁰⁰⁰
Bunicaluiandrei
S = (1+1) + 2 + 2² + 2³ + ........+ 2^999 = (2+2) + 2² + 2³ + .......+2^999 =
= (2² + 2²) + 2³ +........+2^999 = (2³+2³) + ......+ 2^999 =.....= 2^999 + 2^999 =
S = 2·2^999 = 2^1000

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