K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

19 tháng 4 2017

1) Ta có : \(\frac{x-2}{4}=\frac{5+x}{3}\)

\(\Rightarrow\left(x-2\right).3=\left(5+x\right).4\)

\(\Rightarrow3x-6=20+4x\)

\(\Rightarrow3x=26+4x\)

\(\Rightarrow3x=26+x+3x\)

\(\Rightarrow0=26+x\) 

\(\Rightarrow x=0-26\)

\(\Rightarrow x=-26\)

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

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

\(\Rightarrow\frac{2}{A}=2+2^2+2^3+...+2^{2013}\)

\(\Rightarrow\frac{2}{A}-\frac{1}{A}=\left(2+2^2+2^3+...+2^{2013}\right)-\left(1+2+2^2+...+2^{2012}\right)\)

\(\Rightarrow\frac{1}{A}=2^{2013}+1\)

\(\Rightarrow A=\frac{1}{2^{2013}+1}\)

23 tháng 3 2018

a/ (x-2)/4 =5+x/2

=> \(\frac{x-2}{4}\) = \(\frac{x+5}{2}\)

=> 2(x-2) = 4(x+5)

2x-4 =4x+20

4x-2x=-20-4

2x=-24

x=-12

23 tháng 3 2018

sr chua hết

b/ A = 1 +1/2 +1/22 +.....+1/22012

=> 2A=2 +1 /2 +1/2 +....+1/22011

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

=> A=2-1/22012

8 tháng 4 2018

\(A=1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2012}}\)

\(\Rightarrow A=1+\left(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2012}}\right)\)

Đặt \(B=\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2012}}\)

\(2B=2\left(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+....+\frac{1}{2^{2012}}\right)\)

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

\(2B-B=\left(1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{2012}}\right)-\left(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2012}}\right)\)

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

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

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

11 tháng 5 2019

đúng rùi đó

11 tháng 5 2019

\(A=1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+.....+\frac{1}{2^{2012}}\)

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

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

13 tháng 4 2017

\(A=1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{2012}}\)

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

Suy ra \(2A-A=2-\frac{1}{2^{2012}}\)hay \(A=2-\frac{1}{2^{2012}}\)

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

13 tháng 4 2017

\(\frac{1}{2}A=\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{2013}}\)

=>\(A-\frac{1}{2}A=\left(1+\frac{1}{2}+..+\frac{1}{2^{2012}}\right)-\left(\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{2013}}\right)\)

=>\(\frac{1}{2}A=1-\frac{1}{2^{2013}}\)

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

Cô mình chữa bài này rồi nên bạn cứ yên tâm

17 tháng 5 2016

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

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

\(2A-A=\left(2+1+...+\frac{1}{2^{2011}}\right)-\left(1+\frac{1}{2}+...+\frac{1}{2^{2012}}\right)\)

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

17 tháng 5 2016

Ta có: \(A=1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+.....+\frac{1}{2^{2012}}\)

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

=>  \(2A=2+1+...+\frac{2}{2^{2011}}\)

=> \(2A-A=\left(2+1+...+\frac{1}{2^{2011}}\right)-\left(1+\frac{1}{2}+...+\frac{1}{2^{2012}}\right)\)

=> \(A=2-\frac{1}{2012}\)

1 tháng 5 2016

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

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

\(2A-A=\left(2+1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{2011}}\right)-\left(1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{2012}}\right)\)

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

mk nhanh nhat nhe

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

\(=2-1+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{2^2}+...+\frac{1}{2^{2011}}-\frac{1}{2^{2012}}=2-\frac{1}{2^{2012}}\)