các bn trả lời nhanh nhé

đến 9:10 nhé

\(A=\frac{2}{4.7}+\frac{2}{7.10}+\frac{2}{10.13}+.....+\frac{2}{73.76}\)

\(=\frac{2}{3}\left(\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+....+\frac{3}{73.76}\right)\)

\(=\frac{2}{3}\left(\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+....+\frac{1}{73}-\frac{1}{76}\right)\)

\(=\frac{2}{3}\left(\frac{1}{4}-\frac{1}{76}\right)\)

\(=\frac{2}{3}.\frac{9}{38}=\frac{3}{19}\)

A=\(\frac{3}{3}\cdot\left(\frac{2}{4\cdot7}+\frac{2}{7\cdot10}+\frac{2}{10\cdot13}+...+\frac{2}{73\cdot76}\right)\)

A=\(\frac{1}{3}\cdot3\cdot\left(\frac{2}{4\cdot7}+\frac{2}{7\cdot10}+\frac{2}{10\cdot13}+...+\frac{2}{73\cdot76}\right)\)

A=\(\frac{1}{3}\cdot\left(\frac{3}{4\cdot7}+\frac{3}{7\cdot10}+\frac{3}{10\cdot17}+...+\frac{3}{73\cdot76}\right)\)

A=\(\frac{1}{3}\cdot\left(\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}-\frac{1}{13}+...+\frac{1}{73}-\frac{1}{76}\right)\)

A=\(\frac{1}{3}\cdot\left(\frac{1}{4}-\frac{1}{76}\right)\)

A=\(\frac{1}{3}\cdot\left(\frac{19}{76}-\frac{1}{76}\right)\)

A=\(\frac{1}{3}\cdot\frac{18}{76}\)

A=\(\frac{1\cdot6}{1\cdot76}\)

A=\(\frac{6}{76}\)

chúc bạn một ngày tốt lành

anh ơi ,toán này hồi em học lớp 4 còn biết thế mà anh ko biết, gợi ý nha:toán này thuộc dạng sai phân

\(\frac{3}{2}A=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{97}-\frac{1}{100}\)

\(\frac{3}{2}A=1-\frac{1}{100}\)

\(\frac{3}{2}A=\frac{99}{100}\)

\(A=\frac{33}{50}\)

k minh nha

bài này dễ thế mà không giải được hả bạn

\(A=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+...+\frac{2}{97.100}\)

\(A=\frac{2}{3}.\left(\frac{3}{1.4}+\frac{3}{4.7}+...+\frac{3}{97.100}\right)\)

\(A=\frac{2}{3}.\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{100}\right)\)

\(A=\frac{2}{3}.\left(1-\frac{1}{100}\right)\)

\(A=\frac{2}{3}.\frac{99}{100}=\frac{33}{50}\)

A = \(\frac{2}{3}.\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{100}\right)\)

A = \(\frac{2}{3}.\left(1-\frac{1}{100}\right)\)= \(\frac{2}{3}.\frac{99}{100}\)= \(\frac{33}{50}\)
 

A = \(\frac{2}{1\cdot4}+\frac{2}{4\cdot7}+\frac{2}{7\cdot10}+....+\frac{2}{97\cdot100}\)

A = \(\frac{2}{3}\left(\frac{3}{1\cdot4}+\frac{3}{4\cdot7}+\frac{3}{7\cdot10}+....+\frac{3}{97\cdot100}\right)\)

A = \(\frac{2}{3}\left(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+....\frac{1}{97}-\frac{1}{100}\right)\)

A = \(\frac{2}{3}\left(\frac{1}{1}-\frac{1}{100}\right)\)

A = \(\frac{2}{3}\cdot\frac{99}{100}\)

A = \(\frac{33}{50}\)

\(A=2.\left(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{100}\right)\) 

\(=2.\left(\frac{1}{1}-\frac{1}{100}\right)\) 

\(=2.\frac{99}{100}\) 

\(=\frac{99}{50}\)

\(A=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+...+\frac{2}{97.100}\)

=>  \(A=\frac{2}{3}\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{97.100}\right)\)

=>  \(A=\frac{2}{3}\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{97}-\frac{1}{100}\right)\)

=>  \(A=\frac{2}{3}\left(1-\frac{1}{100}\right)\)

=> \(A=\frac{2}{3}.\frac{99}{100}=\frac{33}{50}\)

Study well ! >_<

\(A=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+...+\frac{2}{97.100}\)

\(A=\frac{2}{3}.\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{97.100}\right)\)

\(A=\frac{2}{3}\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{97}-\frac{1}{100}\right)\)

\(A=\frac{2}{3}.\left(1-\frac{1}{100}\right)\)

\(A=\frac{2}{3}.\frac{99}{100}\)

\(A=\frac{33}{50}\)

có phải là 99/100 đúng không

mình cần gấp lắm có ai giúp giupf mình với!

Mình ko chắc lắm, nếu sai thì xin lỗi nhiều

\(A=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+...+\frac{2}{97.100}\)

\(A=2.\left(\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+...+\frac{1}{97.100}\right)\)

\(A=2.\left(\frac{1.3}{1.4.3}+\frac{1.3}{4.7.3}+\frac{1.3}{7.10.3}+...+\frac{1.3}{97.100.3}\right)\)

\(A=2.\frac{1}{3}.\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{97.100}\right)\)

\(A=2.\frac{1}{3}.\left(\frac{4-1}{1.4}+\frac{7-4}{4.7}+\frac{10-7}{7.10}+...+\frac{100-97}{97.100}\right)\)

\(A=\frac{2}{3}.\left(\frac{4}{1.4}-\frac{1}{1.4}+\frac{7}{4.7}-\frac{4}{4.7}+\frac{10}{7.10}-...-\frac{97}{97.100}\right)\)

\(A=\frac{2}{3}.\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-...-\frac{1}{100}\right)\)

\(A=\frac{2}{3}.\left(1-\frac{1}{100}\right)\)

\(A=\frac{2}{3}.\frac{99}{100}\)

\(A=\frac{33}{50}\)

A=2/3(1-1/4+1/4-1/7+1/7-1/10+...+1/97-1/100)

A=2/3(1-1/100)

A=2/3.99/100

A=33/50

mình k pit co dung k nua nghe

A=2/1.4+2/4.7+2/7.10+...+2/97.100

=2/3(3/1.4+3/4.7+3/7.10+...+3/97.100)

=2/3(1-1/4+1/4-1/7+1/7-1/10+...+1/97-1/100)

=2/3(1-1/100)=33/50

\(\frac{3}{2}A=\frac{3}{2}\left(\frac{2}{1.4}+\frac{2}{4.7}+...+\frac{2}{97.100}\right)\)

\(\frac{3}{2}A=\frac{3}{2}\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{100}\right)\)

\(\frac{3}{2}A=\frac{3}{2}\left(1-\frac{1}{100}\right)\)

\(\frac{3}{2}A=\frac{3}{2}\times\frac{99}{100}\)

\(A=\frac{99}{100}\)

33/50

\(A=\frac{3^2}{1.4}+\frac{3^2}{4.7}+\frac{3^2}{7.10}+.....+\frac{3^2}{97.100}\)

\(=3\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+....+\frac{3}{97.100}\right)\)

Ta thấy :

 \(\frac{3}{1.4}=\frac{4-1}{1.4}=1-\frac{1}{4}\)

\(\frac{3}{4.7}=\frac{7-4}{4.7}=\frac{1}{4}-\frac{1}{7}\)

\(.........\)

\(\frac{3}{97.100}=\frac{100-97}{97.100}=\frac{1}{97}-\frac{1}{100}\)

\(\Rightarrow A=3\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+....+\frac{1}{97}-\frac{1}{100}\right)\)

\(=3\left(1-\frac{1}{100}\right)=3\cdot\frac{99}{100}=\frac{297}{100}\)

đáp án = \(\frac{297}{100}\)

đúng không?

kết bạn với mh nha

\(A=\frac{2}{1\cdot4}+\frac{2}{4\cdot7}+\frac{2}{7\cdot10}+...+\frac{2}{97\cdot100}\)

\(=\frac{2}{3}\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{97}-\frac{1}{100}\right)\)

\(=\frac{2}{3}\left(1-\frac{1}{100}\right)=\frac{33}{50}\)

\(A=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+...+\frac{2}{97.100}\)

\(A=\frac{2}{3}.\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{97.100}\right)\)

\(A=\frac{2}{3}.\left(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{97}-\frac{1}{100}\right)\)

\(A=\frac{2}{3}.\left(1-\frac{1}{100}\right)\)

\(A=\frac{2}{3}.\frac{99}{100}\)

\(\Rightarrow A=\frac{33}{50}\)

\(\frac{3}{2}A=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{97.100}\)

\(\Rightarrow\frac{3}{2}A=\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{100}\)

\(\Rightarrow\frac{3}{2}A=\frac{1}{1}-\frac{1}{100}=\frac{99}{100}\)

\(\Rightarrow A=\frac{99}{100}:\frac{3}{2}=\frac{33}{50}\)