Chung minh rang :
S=1-1/2^2 -1/3^2 -1/4^2-1/5^2-......-1/10^2 >0
Cac ban giup minh giai nhe!
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Chung Minh Rang:
S=12+32+33+34+35+36+....+32018+32019
Cac ban giai ho minh nhe !
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chung minh rang
\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{199}-\frac{1}{200}=\frac{1}{101}+\frac{1}{102}+\frac{1}{103}+...+\frac{1}{200}\)
giup minh minh like cho nho giai chi tiet mot chut nhe
1-1/2+1/3-1/4+...+1/199-1/200=(1+1/2+1/3+1/4+...+199+1/200)-(1+1/2+1/3+...+1/100)=1+1/2+1/3+1/4+...+1/199+1/200-1-1/2-1/3-1/4-...-1/99-1/100=(1+1/2+1/3+...+1/100)-(1+1/2+1/3+...+1/100)+(1/101+1/102+...+1/200)=0+(1/101+1/102+...+1/200)=(1/101+1/102+...+1/200)(đpcm)
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cho a =1/2^2 +1/2^3 +1/2^4+.....+1/2^100 c/m A khong phai la so tu nhien
CAC BAN GIUP MINH GIAI NHE! AI GIAI DUNG MINH TICH CHO
Q= 1/2! + 2/3! + 3/4! +...+ n-1/n!
Chung minh rang Q<1
Cac ban oi giup minh voi. Thanks!
hinh nhu trong sach phat trien lop 6 co thi phai,lau roi quen
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1)chung to rang so nguyen to p;p>5 khi chia cho 6 chi co the du 1 hoac 5
2)chung minh rang neu p va p+2 la so nguyen to lon hon 3 thi p+1 la mot hop so
cac an giai giup minh minh dang can gap
ai giai nhanh minh tick cho
1) Cho s= 3+3^2+....+3^1998. Chung minh rang S chia het cho 39
2)Chung minh rang 36^36 - 9^10 chia het cho 45
3)Hoi khi nao thi tong cua n so tu nhien lien tiep bat ki chia het cho n.
CAC BAN GIUP MINH DI MAI MINH NOP OI HUHU
1.chung minh rang
A=2+2^2+2^3+...+2^30 chia het cho 7
2.chung minh rang neu p la so nguyen to lon hon 3 thi p^2-1chia het cho 24
giai nhanh ho minh nhe!
A=2+22+23+24+....+230
=(2+22+23)+(24+25+26)+...+(228+229+230)
=1(2+22+23)+23(2+22+23)+...+227(2+22+23)
=1.7+23.7+25.7+...+227.7
=7(1+23+25+...+227)
vì 7:7-->A:7
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\(A=2+2^2+2^3+2^4+...+2^{29}+2^{30}\)
\(=\left(2^{ }+2^2+2^3\right)+\left(2^4+2^5+2^6\right)+...+\left(2^{28}+2^{29}+2^{30}\right)\)
\(=2.\left(1+2+2^2\right)+2^{^{ }4}.\left(1+2+2^2\right)+...+2^{28}.\left(1+2+2^2\right)\)
\(=2.7+2^4.7+...+2^{28}.7\)
\(=7.\left(2+2^4+...+2^{28}\right)\)
\(\Rightarrow A⋮7\)
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1. (x2 - 9x + 20)(x2 - 13x + 12) = 1680
2. (x2 + x - 2)(x2 + x - 3) = 12
3. (x2 - 9)2 = 12x + 1
4. x3 + 3x2 + 4x + 2 = 0
5. x3 + 2x2 - x - 2 = 0
cac ban giup minh voi a 
2: \(\Leftrightarrow\left(x^2+x\right)^2-5\left(x^2+x\right)-6=0\)
\(\Leftrightarrow x^2+x-6=0\)
=>(x+3)(x-2)=0
=>x=-3 hoặc x=2
5: \(\Leftrightarrow\left(x+2\right)\left(x-1\right)\left(x+1\right)=0\)
hay \(x\in\left\{-2;1;-1\right\}\)
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Bai 1:Chung minh rang:A=1/42+1/62+1/82+.......+1/(2n)2<1/4
Bai 2:Tinh tong:1/2+5/6+11/12+19/20+41/42+55/56
cac ban giup minh nha.trinh bay theo kieu phan so nhe