bạn tìm 1 số để nhân cả tử cả mẫu ra để tử ra 1 so chung nha rồi tách thôi

đúng mà

A=7/3.4 - 9/4.5 + 11/5.6 - 13/6.7 + 15/7.8 -17/8.9+19/9.10

=(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)

-(1/8+1/9)+(1/9+1/10)

=1/3-1/5+1/5-1/7+1/7-1/9+1/9+1/10

=1/3+1/10

=13/30

Vậy A = 13/30

\(A=\frac{7}{3.4}-\frac{9}{4.5}+\frac{11}{5.6}-\frac{13}{6.7}+\frac{15}{7.8}-\frac{17}{8.9}+\frac{19}{9.10}\)

\(=\frac{1}{3}+\frac{1}{4}-\frac{1}{4}-\frac{1}{5}+\frac{1}{5}+\frac{1}{6}-\frac{1}{6}-\frac{1}{7}+\frac{1}{7}+\frac{1}{8}-\frac{1}{8}-\frac{1}{9}+\frac{1}{9}+\frac{1}{10}\)=\(\frac{1}{3}+\frac{1}{10}=\frac{13}{30}\)

\(B=\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+....+\frac{1}{9}-\frac{1}{10}\)

\(B=\frac{1}{3}-\frac{1}{10}\)

\(B=\frac{7}{30}\)

sai đề

đề đó là đúng nha bạn

C=\(\frac{7}{3.4}\)-\(\frac{9}{4.5}\)+\(\frac{11}{5.6}\)+\(\frac{13}{6.7}\)+\(\frac{15}{7.8}\)-\(\frac{17}{8.9}\)+\(\frac{19}{9.10}\) 

=\(\frac{1}{3}\)+\(\frac{1}{4}\)-\(\frac{1}{4}\)-\(\frac{1}{5}\)+\(\frac{1}{5}\)+\(\frac{1}{6}\)-\(\frac{1}{6}\)-\(\frac{1}{7}\)+\(\frac{1}{7}\)+\(\frac{1}{8}\)-\(\frac{1}{8}\)-\(\frac{1}{9}\)+\(\frac{1}{9}\)+\(\frac{1}{10}\)

=\(\frac{1}{3}\)+\(\frac{1}{10}\)=\(\frac{13}{30}\)

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Bài này mình mới nghĩ ra được đến đây thôi à, các bạn xem rồi giúp mình giải phần tiếp theo nhé !

A = \(\frac{7}{3.4}\) - \(\frac{9}{4.5}\) + \(\frac{11}{5.6}\) - \(\frac{13}{6.7}\) + \(\frac{15}{7.8}\) - \(\frac{17}{8.9}\) + \(\frac{19}{9.10}\)

A = \(\frac{6+1}{3.4}\) - \(\frac{10-1}{4.5}\) + \(\frac{10+1}{5.6}\) - \(\frac{14-1}{6.7}\) + \(\frac{14+1}{7.8}\) - \(\frac{18-1}{8.9}\) + \(\frac{18+1}{9.10}\)

A = \(\frac{6}{3.4}\) + \(\frac{1}{3.4}\) - \(\frac{10}{4.5}\) - \(\frac{1}{4.5}\) + \(\frac{10}{5.6}\) + \(\frac{1}{5.6}\) - \(\frac{14}{6.7}\) - \(\frac{1}{6.7}\) + \(\frac{14}{7.8}\) + \(\frac{1}{7.8}\) - \(\frac{18}{8.9}\) - \(\frac{1}{8.9}\) + \(\frac{18}{9.10}\) + \(\frac{1}{9.10}\)

Mình làm được đến đây thôi, các bạn giúp mình nhé ! Thanks !

Đường cùng rồi làm đại thôi, từ đề suy ra nha

=> 7.9.11.13.15.17.19.(\(\frac{1}{3.4}-\frac{1}{4.5}+\frac{1}{5.6}-\frac{1}{6.7}+\frac{1}{7.8}-\frac{1}{8.9}+\frac{1}{9.10}\) )

chịu thua

Cái này họ cho trên violympic, mình không bít làm, bấm máy tính ra \(\frac{13}{30}\) đó!!!

\(M=\frac{1}{9.10}-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{8.9}\right)=\frac{1}{90}-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{8}-\frac{1}{9}\right)=\frac{1}{90}-\left(1-\frac{1}{9}\right)=\frac{1}{90}-\frac{8}{9}=-\frac{79}{90}\)

yyyyyyyyyyyyyyyyyyyyyyyyyyyy

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bạn giúp mình trước

\(B=\frac{1}{3.4}-\frac{1}{4.5}-\frac{1}{5.6}-\frac{1}{6.7}-\frac{1}{7.8}-\frac{1}{8.9}-\frac{1}{9.10}\)

\(\Rightarrow B=\frac{1}{3.4}-\left(\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\right)\)

\(\Rightarrow B=\frac{1}{12}-\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)

\(\Rightarrow B=\frac{1}{3}-\frac{1}{4}-\left(\frac{1}{4}-\frac{1}{10}\right)\)

\(\Rightarrow B=\frac{1}{12}-\frac{6}{40}\)

\(\Rightarrow B=\frac{-1}{15}\)

de qua

1/5.6+1/6.7+...+1/11.12