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\(A=2^0+2^1+2^2+.....+2^{1990}\)
\(2A=2\left(2^0+2^1+2^2+.....+2^{1990}\right)\)
\(2A=2^1+2^2+2^3+.....+2^{1991}\)
\(2A-A=\left(2^1+2^2+2^3+.....+2^{1991}\right)-\left(2^0+2^1+2^2+.....+2^{1990}\right)\)
\(A=2^{1991}-2^0=2^{1991}-1\)
\(B=a^0+a^1+a^2+a^3+.....+a^n\)
\(B.a=a^1+a^2+a^3+a^4+.....+a^{n+1}\)
\(B.a-B=\left(a^1+a^2+a^3+a^4+......+a^{n+1}\right)-\left(a^0+a^1+a^2+a^3+.....+a^n\right)\)
\(B.a=a^{n+1}-1\Leftrightarrow B=\dfrac{a^{n+1}-1}{a}\)
\(C=1+3+3^2+.....+3^{50}\)
\(3C=3\left(1+3+3^2+.....+3^{50}\right)\)
\(3C=3+3^2+3^3+.....+3^{51}\)
\(3C-C=\left(3+3^2+3^3+.....+3^{51}\right)-\left(1+3+3^2+.....+3^{50}\right)\)
\(2C=3^{51}-1\Rightarrow C=\dfrac{3^{51}-1}{2}\)
cho biểu thức đó là B
\(B=\left(2^0+2^1+2^2+2^3\right).2^0.2^1.2^2.2^3\)
\(B=\left(1+2+4+8\right).1.2.4.8\)
\(B=[\left(8+2\right)+\left(4+1\right)].1.2.4.8\)
\(B=\left(10+5\right).1.2.4.8\)
\(B=15.1.2.4.8\)
\(B=\left(15.2\right).\left(4.8\right)\)
\(B=960\)
nhiều thế!!!
a/82.8.18=83.1=512
b/2.22.23.12.120=26.1.1=64
c/82.13=64.1=64
d/72.13=49.1=49
e/52.(19990)2016=52.12016=25.1=25
f/42.12016=16.1=16
g/92.20160=81.1=81
h/102.20160=100.1=100
a) 21.72 - 11.72+90.72 + 49.125.16
= 21.72 - 11.72 + 90 .72 + 72.125.8.2
= 21.72-11.72+90.72+72.1000.2
=21.72-11.72+90.72+72.2000
= 72.( 21-11 + 90 + 2000)
= 72. 2100
= 49.2100
= 102 900
b) Đặt A = ( 20+21+22+23). 20.21.22.23
A = (20+21+22+23).26
A = 26+27+28+29
=> 2A = 27+28+29+210
2A-A = 210-26
A = 210-26
A = 960
1,Chứng minh chia hết cho 3
A=2+2^2+2^3+2^4+2^5+2^6+2^7+...+2^2004
A=(2+2^2)+(2^3+2^4)+(2^5+2^6)+...+(2^2003+2^2004)
A=2(1+2)+2^3(1+2)+2^5(1+2)+...+2^2003(1+2)
A=2.3+2^3.3+2^5.3+..+2^2003.3
A=(2+2^3+2^5+...+2^2003).3 chia hết cho 3 (đpcm)
chứng minh chia hết cho 7
A=(2+2^2+2^3)+(2^4+2^5+2^6)+...+(2^2002+2^2003+2^2004)
A=2(1+2+2^2)+2^4(1+2+2^2)+...+2^2002(1+2+2^2)
A=2.7+2^4.7+...+2^2002.7
A=(2+2^4+..+2^2002).7 chia hết cho 7 (Đpcm)<mik sẽ làm tiếp>
\(\left(2^2+2^1+2^2+2^3\right).2^0.2^1.2^2.2^3\)
\(=18.64\)
\(=1152\)
vậy thoi á