Question

Bài 2 : Rút gọn biểu thức

A = 1 + 1/2 + 1/2² + 1/2³ + ... + 1/2²⁰¹²

Answer 1

=>2A=2+1+1/2+1/2²+...+1/2²⁰¹¹

=>2A-A=(2+1+1/2+1/2²+...+1/2²⁰¹¹)-(1+1/2+1/2²+1/2³+...+1/2²⁰¹²⁾

=>A=2-1/2²⁰¹²

Answer 2

Bài 2 : Rút gọn biểu thức

A = 1 + 1/2 + 1/2² + 1/2³ + ... + 1/2²⁰¹²

=>2A=2+1+1/2+1/2²+...+1/2²⁰¹¹

=>2A-A=(2+1+1/2+1/2²+...+1/2²⁰¹¹)-(1+1/2+1/2²+1/2³+...+1/2²⁰¹²⁾

=>A=2-1/2²⁰¹²

Answer 3

Bài 2 : Rút gọn biểu thức

A = 1 + 1/2 + 1/2² + 1/2³ + ... + 1/2²⁰¹²

=>2A=2+1+1/2+1/2²+...+1/2²⁰¹¹

=>2A-A=(2+1+1/2+1/2²+...+1/2²⁰¹¹)-(1+1/2+1/2²+1/2³+...+1/2²⁰¹²⁾

=>A=2-1/2²⁰¹²

Answer 4

Bài 2 : Rút gọn biểu thức

A = 1 + 1/2 + 1/2² + 1/2³ + ... + 1/2²⁰¹²

=>2A=2+1+1/2+1/2²+...+1/2²⁰¹¹

=>2A-A=(2+1+1/2+1/2²+...+1/2²⁰¹¹)-(1+1/2+1/2²+1/2³+...+1/2²⁰¹²⁾

=>A=2-1/2²⁰¹²

Answer 5

Bài 2 : Rút gọn biểu thức

A = 1 + 1/2 + 1/2² + 1/2³ + ... + 1/2²⁰¹²

=>2A=2+1+1/2+1/2²+...+1/2²⁰¹¹

=>2A-A=(2+1+1/2+1/2²+...+1/2²⁰¹¹)-(1+1/2+1/2²+1/2³+...+1/2²⁰¹²⁾

=>A=2-1/2²⁰¹²

Answer 6

Bài 2 : Rút gọn biểu thức

A = 1 + 1/2 + 1/2² + 1/2³ + ... + 1/2²⁰¹²

=>2A=2+1+1/2+1/2²+...+1/2²⁰¹¹

=>2A-A=(2+1+1/2+1/2²+...+1/2²⁰¹¹)-(1+1/2+1/2²+1/2³+...+1/2²⁰¹²⁾

=>A=2-1/2²⁰¹²

Answer 7

Rút gọn: A = 1 + 1/2 + 1/2^2 + 1/2^3 + ..... + 1/2^2012
=> 2A = 2 + 1 + 1/2 + ...+ 1/ 2^2011
=> 2A - A =(2+1+1/2+...+1/2^2011)
=> (1+1/2+1/2^2+...+1/2^2012)
=> A= 2- 1/ 2^2012

Answer 8

\(A=1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{2012}}\)

\(\Rightarrow\)\(2A=2+1+\frac{1}{2}+...+\frac{1}{2^{2011}}\)

\(\Rightarrow\)\(2A-A=A=2-\frac{1}{2^{2012}}\)

MK LÀM GỌN NHA

Answer 9

\(\Rightarrow\)\(2A=2+1+\frac{1}{2}+...+\frac{1}{2^{2011}}\)

\(\Rightarrow\)\(2A-A=A=2-\frac{1}{2^{2012}}\)

mk làm gọn nha

Answer 10

=> 2A=2+1+1/2+.....+1/2²⁰¹¹

=>2A-A=2-1/2²⁰¹²

Vây. A=2-1/2012