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Ta có:2A=\(2+1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\)
2A-A=\(\left(2+1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)-\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\right)\)
\(=2-\frac{1}{32}=\frac{63}{32}=A\)
Ta có: \(A=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
\(\Rightarrow A=1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}+\frac{1}{2^5}\)
\(\Rightarrow2A=2+1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}\)
\(\Rightarrow2A-A=\left(2+1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}\right)-\left(1+\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}+\frac{1}{2^5}\right)\)
\(\Rightarrow A=1-\frac{1}{2^5}=\frac{31}{32}\)
Vậy \(A=\frac{31}{32}\)
\(\frac{1}{8}+\frac{1}{32}+\frac{1}{128}+\frac{1}{512}+\frac{1}{2048}\)
= \(\frac{1}{2^3}+\frac{1}{2^5}+\frac{1}{2^7}+\frac{1}{2^9}+\frac{1}{2^{11}}\)
= \(\frac{341}{2048}\)
<=> x : ( 1/2+1/4+1/8) x 100 = 13.25
<=> x : ( 4/8 + 2/8 + 1/8) = 13.25 : 100
<=> x : 7/8 = 0,1325
<=> x = 0,1325 x 7/8
<=> x= 0.1159375
Chả biết đúng không nữa nhưng hình như là sai ế :)
x:1/2+x:1/4+x:25/2=13,25
x:(1/2+1/4+25/2)=13,25
x:53/4=13,25
x:53/4=53/4
x=53/4x53/4
x=2809/16
2 x 3 x 4 x 8 + 0.5 x 0.25 x 0.25
= 6 x 4 x 8 + 0.5 x 0.25 x 0.25
= 24 x 8 + 0.125 x 0.25
= 192 + 0.0625
= 192.0625
1/2 : 0,5 - 1/4 : 0,25 + 1/8 : 0,125 - 1/10 : 0,1
= 1 - 1 + 1 - 1
= 0 + 0
= 0
1/2 : 0.5 - 1/4 : 0.25 + 1/8 : 0.125 - 1/10 : 0.1
= 1 - 1 + 1 - 1
= 0 + 0
= 0
Bài 2 :
\(\frac{2008}{2009}+\frac{2009}{2010}+\frac{2010}{2011}+\frac{2011}{2008}\)và 4
\(1-\frac{1}{4}-\frac{1}{8}\)
\(=\frac{3}{4}-\frac{1}{8}\)
\(=\frac{5}{8}\)