2+2+2+2+2+2+2
Ok?
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(D=1+2+2^2+2^3+.....+2^{63}\)
\(\Leftrightarrow2D=2^1+2^2+2^3+.....+2^{63}+2^{64}\)
\(\Leftrightarrow2D-D=\left(2^1+2^2+2^3+.....+2^{63}+2^{64}\right)-\left(2^0+2^1+2^2+2^3+.....+2^{63}\right)\)
\(\Leftrightarrow D=2^{64}-1\)
Vậy.............
\(2B=2\left(\frac{1}{2}+\frac{2}{2^2}+...+\frac{100}{2^{100}}\right)\)
\(2B=1+1+\frac{3}{2}+...+\frac{100}{2^{99}}\)
\(2B-B=\left(2+\frac{3}{2}+...+\frac{100}{2^{99}}\right)-\left(\frac{1}{2}+\frac{2}{2^2}+...+\frac{100}{2^{100}}\right)\)
\(B=2-\frac{1}{2}+\frac{2}{2^2}+\frac{100}{2^{100}}<2\)
=>B<2(đpcm)
a: \(\Leftrightarrow2x^2+4-x^2+\dfrac{3}{2}=-3+4x^2-\dfrac{4}{3}x^2+1\)
\(\Leftrightarrow x^2+\dfrac{11}{2}=\dfrac{8}{3}x^2-2\)
\(\Leftrightarrow x^2\cdot\dfrac{-5}{3}=-\dfrac{15}{2}\)
\(\Leftrightarrow x^2=\dfrac{9}{2}\)
hay \(x\in\left\{\dfrac{3\sqrt{2}}{2};-\dfrac{3\sqrt{2}}{2}\right\}\)
b: \(\Leftrightarrow\left|x\right|-4-2+\left|x\right|-\dfrac{1}{3}\left|x\right|+5=0\)
\(\Leftrightarrow\left|x\right|\cdot\dfrac{5}{3}=1\)
hay \(x\in\left\{\dfrac{3}{5};-\dfrac{3}{5}\right\}\)
A = 4+2^2+2^3+2^4+.......+2^20
A=2^2+2^2+2^3+2^4+.......+2^20
2A=2.(4+2^2+2^3+2^4+.......+2^20)
2A=2^3+2^3+2^4+2^5+...+2^21
2A-A=(2^3+2^3+2^4+2^5+...+2^21-(2^2+2^3+2^4+.......+2^20)
A=2^3+2^21-(2^2+2^2)
A=8+2^21-8
A=2^21
-Ta có:128=2^7
Mà 2^21 chia hết cho 2^7
Vậy A chia hết cho 128.
Nhớ tick nha!
A=4+22+23+24+...+220
=>2.A=23+24+25+...+221
=>2A-A=23+24+25+...+221-(22)-(22)-(23)-(24)-...-(220)
=>A= -(22)-(22)
=>A= -8
Vậy A= -8
\(A=\dfrac{1}{2^2}+\dfrac{1}{3^2}+...+\dfrac{1}{2012^2}+\dfrac{1}{2013^2}< \dfrac{1}{1.2}+\dfrac{1}{2.3}+...+\dfrac{1}{2011.2012}+\dfrac{1}{2012.2013}\)
\(=\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{2011}-\dfrac{1}{2012}+\dfrac{1}{2012}-\dfrac{1}{2013}\)
\(=1-\dfrac{1}{2013}\)
\(\Rightarrow A< 1-\dfrac{1}{2013}\)
\(\Rightarrow A< 1\) ( đpcm )
mình gợi ý nè :
Chứng minh A <\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{99.100}\)
\(=\frac{\frac{5}{11.2}+\frac{3}{13}-\frac{1}{2}}{\frac{4}{13}-\frac{1}{11}+\frac{3}{2}}=\frac{5}{\frac{2}{4}}=\frac{5}{\frac{1}{2}}\)
A=2+22+23+.....+260
A=(2+22)+(23+24)+.......+(259+260)
A=(2+22)+22.(2+22)+......+258.(2+22)
A=6+22+6+.......+258.6
A=6.(1+22+......+258)
A=2.3.(1+22+.....+258) \(⋮\)3
Vậy A\(⋮\)3
A=2+22+23+....+260
A=(2+22+23)+.....+(258+259+260)
A=(2+22+23)+.....+257.(2+22+23)
A=14+....+257.14
A=14.(1+...+257)
A=2.7.(1+....+257)\(⋮\)7
Vậy A\(⋮\)7
A=2+22+23+....+260
A=(2+22+23+24+25+26)+....+(255+256+257+258+259+260)
A=(2+22+23+24+25+26)+.....+254.(2+22+23+24+25+26)
A=126+...+254.126
A=126.(1+....+254)
A=42.3.(1+...+254) \(⋮\)42
Vậy A\(⋮\)42
Chúc bn học tốt
2+2+2+2+2+2+2=2*7=14
=14
MÌNH CẦN ĐIỂM