cho a bang 1/2+1/3+1/4+1/5+1/6+1/7+1/8
so sanh tong a voi 5/6
giai ro
ai lam dung minh tick cho
Tinh tong :
A = 1/1*3 + 1/3*5 + 1/5*7 + ..... + 1/99*101
B = 1 + 1/3 + 1/6 + 1/10 + ..... + 1/630
Giup minh voi nha ! Ai dung minh *** cho !
Giai ro rang ho minh voi !
B = \(1+\frac{1}{3}+\frac{1}{6}+....+\frac{1}{630}=1+\frac{2}{6}+\frac{2}{12}+...+\frac{2}{1260}\)
B = \(1+2\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{35.36}\right)\)
B = \(1+2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{35}-\frac{1}{36}\right)\)
B = \(1+2\left(\frac{1}{2}-\frac{1}{36}\right)=1+2.\frac{17}{36}\)
B = \(1+\frac{17}{18}\)
B = \(\frac{35}{18}\)
\(A=\frac{1}{1x3}+\frac{1}{3x5}+\frac{1}{5x7}+...+\frac{1}{99x101}\)
\(A\)\(x2=\frac{2}{1x3}+\frac{2}{3x5}+\frac{2}{5x7}+...+\frac{2}{99x101}\)
\(A\)\(x2=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{99}-\frac{1}{101}\)
\(A\)\(x2=1-\frac{1}{101}=\frac{100}{101}\)
\(A=\frac{100}{101}:2=\frac{100}{101}x\frac{1}{2}=\frac{50}{101}\)
cho A =1/2*3/4*5/6*...*99/100
B=2/3*4/5*6/7*...*100/101
C=1/2*2/3*4/5*...*98/99
a) so sanh A, B, C
b) Chung minh: A*C< A^2< 1/10
c) Chung minh: 1/15< A< 1/10
Lam giup minh di ai lam duoc minh tich dung cho
Ket qua cua tong: A = 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 = ............
Ai giai nhanh nhat va ghi ro cach lam ra ( ko ghi ....... ) thi minh se tick cho nha, minh dang can gap^^^
TA CÓ:\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}\)
\(=\frac{1}{2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\)
\(=\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\)
\(=\frac{1}{2}+\frac{1}{2}-\frac{1}{8}\)
\(=1-\frac{1}{8}=\frac{7}{8}\)
A = 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 = 7/8
= 6/12 + 2/12 + 1/12 + 3/60 + 2/60 + 8/336 + 6/336
= 9/12 + 5/60 + 14/336
= 5/6 + 1/24 = 7/8
cho a bang 1/5+1/6+1/7+1/8+1/9 va so sanh a voi 1 ta thay
Giup minh voi!
1/2^2 + 1/4^2 + 1/6^2 +.....+ 1/210^2 (Nho ghi cach giai ro rang)
Ai nhanh nhat minh se tick cho nhung phai dung do! Thank truoc nha!
Intelligent help voi! Lam on di ma minh dang can gap lam!
cho a=1 phan 5 + 1phan 6 +1 phan 7 +1 phan 8 + 1 phan 9 .so sanh avoi 1
cac ban nho yich ro rang cho minh nha
mot soi day cat lam 4 doan
doan thu nhat bang 1/3 tong do dai 3 doan con lai
doan thu hai bang 1/4 tong do dai 3 doan con lai
doan thu ba bang 1/5 tong do dai 3 doan con lai
Va biet doan thu nhat dai hon doan thu hai la 6 met
a) tinh do dai doan day
b)tinh do dai moi doan
ghi ro cach giai ai nhanh nhat thi minh se ket ban
Giup minh voi!
Tim x:
a) 1/5.8 + 1/8.11 + 1/11.14 +........+ 1/x(x+3) = 101/1540
b) 1 + 1/3 + 1/6+ 1/10+......+ 1/x(x+1):2 = hon so 1 1991/1993
Ai nhanh nhat dung nhat tick lun!(Nho ghi cach giai ro rang)
còn chi tiết đây
a)1/5.8+1/8.11+1/11.14+...+1/x.(x+3)=101/1540
1/(5.8)+1/(8.11)+1/(11.14)+...1/x.(… =101/1540
3/(5.8)+3/(8.11)+...+3/x(x+3)=3.(10…
1/5-1/8+1/8-1/11+...+1/x-1/(x+3)=30…
1/5-1/(x+3)=303/1540
1/(x+3)=1/5-303/1540=1/308
=>x=305
lời giải nè : ấn vô dòng đen đen ở dưới ấy nhé
Tìm x, biết:a) 1/5.8 + 1/8.11 + 1/11.14 + ... + 1/x.(x+3)= 101/1540b) 1+ 1/3 + 1/6 + 1/10 +...+ 1/x.(x+1):2 = $1\frac{1991}{1993}$119911993
tinh tong hop li:
F=1+2-3-4+5+6-7-8+....(F co 2015 so hang)
ai lam nhanh dung,day du minh tich !!!!!!!!!!!!!!!!!!