tinh A=(1-1/15)(1-1/21)(1-1/28).....(1-1/210)
nho viet ro cach lam cho minh
Những câu hỏi liên quan
Tinh gia tri cua bieu thuc \(D=\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+\frac{1}{45}\)
Nho giai va trinh bay cach lam cho minh luon nha ^_^
1/2D=1/2(1/6+1/10+......+1/45)
1/2D=1/12+1/20+1/30+.....+1/90
1/2D=1/3.4+1/4.5+1/5.6+......+1/9.10
1/2D=1/3-1/4+1/4-1/5+1/5-1/6+....+1/9-1/10
1/2D=1/3-1/10
1/2D=7/30
D=7/30:1/2
D=7/15
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Ta có:\(D=\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+\frac{1}{45}\)
\(=\frac{2}{12}+\frac{2}{20}+\frac{2}{30}+\frac{2}{42}+\frac{2}{56}+\frac{2}{72}+\frac{2}{90}\)
\(=2.\left(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\right)\)
\(=2.\left(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\right)\)
\(=2.\left(\frac{1}{3}-\frac{1}{10}\right)=2.\frac{7}{30}=\frac{7}{15}\)
Vậy \(D=\frac{7}{15}\)
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không biết làm
Xem thêm câu trả lời
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!
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tinh
(1-1/15)(1-1/21)(1-1/28)...(1-1/210)
=14\15.20\21....209\210
=14.2\15.2.20.2\21.2....209.2\210.2
=4.7\5.6.5.8\6.7.....19.20\20.21
=4.5.6....19\5.6.7...20.7.8.9....22\6.7.8.....21
=4\20.22\6
=1\5-11\3
=11\15
k cho mik nha
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Có chắc ko đó bạn
1.Cho A=1/2!+2/3!+3/4!+...+2015/2016!
Chung minh :A<1
2.Cho A=8n+193/4n+3
Tim so tu nhien n de A la phan so toi gian
Cac ban nho viet ca cach lam nua
Ko can lam het dau,biet lam cau nao thi lam
tinh hop ly
A=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+...+1/16(1+2+3+...+16)
ghi ro cach lam nha
mik tick cho
a,tim x biet |x-2|+|3-2x|=2x+1
b,tim x,y thuoc Z biet xy+2x-y=5
c, tinh A=(1-1/15)(1-1/21)(1-1/28).....(1-1/210)
Tinh gia tri cua bieu thuc \(D=\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{200}\)
Nho giai va tring bay cach lam cho minh luon nha ^_^
Tính A= (1-1/15).(1-1/21).(1-1/28)....(1-1/210)
Tính A = (1-1/15)*(1-1/21)*(1-1/28)*...*(1-1/210)