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1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90
=1/(1.2)+1/(2.3)+1/(3.4)+1/(4.5)
+1/(5.6)+1/(6.7)+1/(7.8)
+1/(8.9)+1/(9.10)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5.+1/5-1/6...
+1/9-1/10
=1-1/10
=9/10
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{9.10}\)
\(=\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{9x10}\)
\(=\frac{2-1}{1x2}+\frac{3-2}{2x3}+\frac{4-3}{3x4}+...+\frac{10-9}{9x10}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=1-\frac{1}{10}\)
\(=\frac{10}{10}-\frac{1}{10}\)
\(=\frac{9}{10}\)
Tham khảo nha !!!
\(\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{10.11}\)
=\(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-......+\frac{1}{10}-\frac{1}{11}.\)
=\(\frac{1}{2}-\frac{1}{11}\)
=\(\frac{9}{22}.\)
Bài làm
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{90}+\frac{1}{110}\)
\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{9.10}+\frac{1}{10.11}\)
\(A=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}\)
\(A=\frac{1}{1}-\frac{1}{11}\)
\(A=\frac{10}{11}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\)
\(=1-\frac{1}{10}\)
\(=\frac{9}{10}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\)
= \(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+...+\frac{1}{9\times10}\)
= \(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
=\(\frac{1}{1}-\frac{1}{10}\)= \(\frac{9}{10}\)
Tính Nhanh
1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42
Giải chị tiết hộ mình
Ai nhanh nhất mình cho một tick
\(\frac{1}{2}\)+ \(\frac{1}{6}\)+ \(\frac{1}{12}\)+ \(\frac{1}{20}\)+ \(\frac{1}{30}\)+ \(\frac{1}{42}\)
= \(\frac{6}{7}\)
\(\frac{1}{1\cdot2}\) +\(\frac{1}{2\cdot3}\) +\(\frac{1}{3\cdot4}\) +\(\frac{1}{4\cdot5}\) +\(\frac{1}{5\cdot6}\) +\(\frac{1}{6\cdot7}\) =1-\(\frac{1}{7}\) =\(\frac{6}{7}\)
ta có:
1/6+1/12+1/20+1/30+.........+1/90+1/110
= 1/2x3+1/3x4+1/4x5+1/5x6+....+1/9x10+1/10x11
= 1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+....+1/9-1/10+1/10-1/11
=1/2-1/11=11/22-2/22=9/22
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{10}-\frac{1}{11}\)
\(=\left(\frac{1}{2}-\frac{1}{11}\right)+\left(\frac{1}{3}-\frac{1}{3}\right)+\left(\frac{1}{4}-\frac{1}{4}\right)+...+\left(\frac{1}{10}-\frac{1}{10}\right)\)
\(=\frac{1}{2}-\frac{1}{11}=\frac{11}{22}-\frac{2}{22}=\frac{9}{22}\)
Tính nhanh :
2 - 4 + 6 - 8 + 10 - 12 + ...... + 98 - 100 + 102
GIÚP MÌNH VỚi ! MÌNH HẬU TẠ 1 CÁI TICK
2 - 4 + 6 - 8 + 10 - 12 + ... + 98 - 100 + 102 [ có ( 102 - 2) : 2 + 1 = 51 ( số), 51 : 2 = 25 dư 1}
= ( 2 - 4) + ( 6 - 8) + ( 10 - 12) + ... + ( 98 - 100) + 102 ( có 25 nhóm và 1 số)
= -2 + ( -2) + ( -2) + ... + ( -2) + 102
= -2 × 25 + 102
= - 50 + 102
= 52
tu 4 den so 102 co so cac so la :
[102 - 4] : 2 + 1= 50 [ so]
so cap so la :
50 : 2 = 25 [ cap so]
nen ta co : [102 - 100] + [98 - 96] +[...] +[10 - 8]+ [6- 4] + 2 =
2 + 2 +,,, + 2 + 2 +2 =
25 + 1 = 26 so hang bang 2
= 2 x 26
= 52
nho k mk nha mk k lai
Câu 1 :
= ( 1/2 x 4 x 6 ) + ( 1/4 x 6 x 8 ) + ( 1/6 x 8 x 10 ) + ( 1/8 x 10 x 12 ) + ( 110 x 12 x 14 )
= 12 + 12 + 12 + 12 + 12 hay 12 x 5
= 60
Câu 2 :
= 1 - 1/90
= 89/90
Câu 3 :
= 1 - 1/48
= 47/48
Câu 4 :
= 1 - 1/1280
= 1279/1280
Câu 2 mk chưa chắc chắn lắm ! với lại mk hết lượt rồi ! thông càm nha bn !
1) 0,1,2,3,6,10,15,21.
2) 60,30,20,15,12,10.
3) 25,32.37,47,58,71,79,95.
nếu đúng thì kết bạn với mình nha
=1/1x2+1/2x3+1/3x4+.....+1/9x10
=1/1-1/2+1/2-1/3+1/3-1/4+.........-1/10
=1/1-1/10
=1/9
1/2+1/6+....+1/90
=1/1.2 +1/2.3 +1/3.4+.....+1/9.10
=1-1/2+1/2-1/3+1/3-1/4+...+1/9-1/10
=1-1/10=9/10