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\(A=4+2^2+2^3+2^4+.....+2^{19}+2^{20}\)
\(A=2^2+2^2+2^3+2^4+.....+2^{19}+2^{20}\)
\(2A=2^3+2^3+2^4+2^5+.....+2^{20}+2^{21}\)
\(2A-A=\left(2^3+2^3+2^4+2^5+.....+2^{21}\right)-\left(2^2+2^2+2^3+.....+2^{20}\right)\)
\(A=\left(2^3+2^{21}\right)-\left(2^2+2^2\right)\)
\(A=2^3+2^{21}-2^3\)
\(A=2^{21}\)
\(A=4+2^2+...+2^{20}\)
\(A-4=2^2+2^3+...+2^{20}\)
\(2\left(A-4\right)=2\left(2^2+2^3+...+2^{20}\right)\)
\(2\left(A-4\right)=2^3+2^4+...+2^{21}\)
\(2\left(A-4\right)-\left(A-4\right)=\left(2^3+2^4+...+2^{21}\right)-\left(2^2+2^3+...+2^{20}\right)\)
\(A-4=2^{21}-2^2\)
\(A=2^{21}-4+4=2^{21}\)
\(A=4+2^2+2^3+...+2^{19}+2^{20}\)
\(2A=2.\left(4+2^2+2^3+...+2^{19}+2^{20}\right)\)
\(2A=2^2+2^3+2^4+...+2^{20}+2^{21}\)
\(2A-A=\left(2^2+2^3+2^4+...+2^{20}+2^{21}\right)-\left(4+2^2+2^3+...+2^{19}+2^{20}\right)\)
\(\Rightarrow A=2^2+2^3+2^4+...+2^{20}+2^{21}-4-2^2-2^3-...-2^{19}-2^{20}\)
\(A=\left(2^2-2^2\right)+\left(2^3-2^3\right)+\left(2^4-2^4\right)+...+\left(2^{19}-2^{19}\right)+\left(2^{20}-2^{20}\right)+2^{21}-4\)
\(A=0+0+0+...+0+0\)
\(A=2^{21}-4\)
Vậy \(A=2^{21}-4\)
a)2A=4+4^2+4^3+...+4^101
2A-A=4^101-1
A=4^101-1
khong bit phai hoi muon gioi phai hoc
\(\frac{2^5.7+2^5}{2^5.5^2-2^5.3}=\frac{2^5.\left(7+1\right)}{2^5.\left(5^2-3\right)}=\frac{8}{25-3}=\frac{8}{22}=\frac{4}{11}\)
\(\frac{3^4.5-3^6}{3^4.13+3^4}=\frac{3^4.\left(5-3^2\right)}{3^4.\left(13+1\right)}=\frac{5-9}{14}=\frac{-4}{14}=\frac{-2}{7}\)
\(\frac{-2}{7}=\frac{-22}{77}\)
\(\frac{4}{11}=\frac{28}{77}\)
Bài 1:
a) 6/2 x+ 1 = 2/7
6/2 x = 2/7 - 1
6/2 x = 2/7 - 7/7
6/2 x = -5/7
x = - 5/7 : 6/2
x = - 5/7 . 2/6
x = -5/21
Ủng hộ nha! :)
BÀI 1 a 6/2x+1=2/7
6/2x=2/7-1
6/2x=-5/7
6*7=5*2x
42=5*2x
42/5=2x
x=42/5:2
x=21/5
A=1+4+42+43+44+........+42015
4A=4(A=1+4+42+43+44+........+42015)
4A=4+42+43+44+45+........+42016
4A-A=(4+42+43+44+45+........+42016)-(1+4+42+43+44+........+42015)
3A=42016-1
A=(42016-1):3
A, B, C,... là tên của bài bạn nha
VD: A, 15+x=15
B, 16+14+14+14
Lời giải:
$A=4+2^2+2^3+2^4+...+2^{20}$
$A-4=2^2+2^3+2^4+...+2^{20}$
$2(A-4)=2^3+2^4+2^5+....+2^{21}$
$\Rightarrow 2(A-4)-(A-4)=2^{21}-2^2$
$\Rightarrow A-4=2^{21}-4$
$\Rightarrow A=2^{21}$