Question

Tổng 2⁰  + 2¹ + 2² + ... + 2⁹ + 2¹⁰ bằng

 

Answer 1

Đặt \(A=2^0+2^1+...+2^{10}\)

\(\Leftrightarrow2A=2^2+2^3+...+2^{11}\\ \Leftrightarrow A=2^{11}-2^0=2^{11}-1\)

Answer 2

  S = 1 + 2 + 2² + ... + 2⁹ + 2¹⁰

2S = 2 . (2 + 2² + ... + 2⁹ + 2¹⁰)

2S = 2 + 2² + 2³ + ... + 2¹⁰ + 2¹¹  

2S - S = (2 + 2² + 2³ + ... + 2¹⁰ + 2¹¹ ) - (1 + 2 + 2² + ... + 2⁹ + 2¹⁰)

S = 2¹¹ - 1

Answer 3

Đặt A = 2⁰+2¹+...+2¹⁰

 

=>2A = 2²+2³+...+2¹¹

 

=>A= 2¹¹ − 2⁰ = 2¹¹ − 1

Cho mik 5 sao nha

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