Biết 22+22+23+24+....+22013=2a tìm số a
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\(S=1-2+2^2-2^3+...+2^{2012}-2^{2013}\)
\(\Rightarrow2S=2-2^2+2^3-2^4+...+2^{2013}-2^{2014}\)
\(\Rightarrow2S+S=2-2^2+2^3-...-2^{2014}+1-2^2-2^3+...-2^{2013}\)
\(\Rightarrow3S=1-2^{2014}\)\(\Rightarrow3S-2^{2014}=1-2^{2015}\)
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1,\(54.\left(23-11\right)+23.\left(-22-54\right)\)
\(=54.12+23.\left(-76\right)\)
\(=648-1748\)
\(=-1100\)
2,\(-7+2x=-17-\left(-36\right)\)
\(=>-7+2x=-17+36\)
\(=>-7+2x=19\)
\(=>2x=19+7=26\)
\(=>x=\frac{26}{2}=13\)
3,\(5⋮2a+3\)
\(=>2a+3\inƯ\left(5\right)\)
\(=>2a+3\in\left\{-1;-5;1;5\right\}\)
\(=>2a\in\left\{-4;-8;-2;2\right\}\)
\(=>a\in\left\{-2;-4;-1;1\right\}\)
Vậy ...
54 . ( 23 - 11 ) + 23 . ( -22 - 54 )
=54.23-54.11+23.-22-23.54
=-54.11+23.-22
=-22(27+23)
=-22.50
=-1100
-7 + 2x = -17 - ( -36 )
-7+2x=-17+36
-7+2x+17-36=0
-26+2x=0
2x=26
x=13
Vậy x=13
Để \(5⋮\left(2a+3\right)\Leftrightarrow\left(2a+3\right)\inƯ\left(5\right)\)
\(\Leftrightarrow\left(2a+3\right)\in\left\{\pm1;\pm5\right\}\)
\(\Leftrightarrow a\in\left\{-1;-2;1;-4\right\}\)
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ta có: \(S=1-2+2^2-2^3+2^4-2^5+...+2^{2013}-2^{2014}\)
\(\Rightarrow2S=2-2^2+2^3-2^4+2^5-2^6+...+2^{2014}-2^{2015}\)
=> 2S + S = -22015 + 1
=> 3S = -22015 + 1
=> 3S - 1 = -22015
=> 1 - 3S = 22015
( cn về S = 1 - 2 + 22 - 23 + 24-25+...+22013 - 22014 mk vx chưa hiểu quy luật của nó lắm, thật lòng xl bn nha! mk chỉ bk z thoy!)
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A=2+22+23+...+220A=2+22+23+...+220
2A=22+23+24+...+2212A=22+23+24+...+221
2A−A=(22+23+24+...+221)−(2+22+23+...+220)2A−A=(22+23+24+...+221)−(2+22+23+...+220)
A=221−2=24.5+1−2=(24)5.2−2=165.2−2A=221−2=24.5+1−2=(24)5.2−2=165.2−2
A=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯.......6.2−2=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯........2−2=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯...........0A=.......6¯.2−2=........2¯−2=...........0¯
Vậy chữ số tận cùng cả A là 0
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bạn biết cách làm ko?chỉ cho mình với,mình chỉ cần cách làm thôi
a=2014