A= 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

Me too ! 

\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}=x-\left(2+4+..+100\right)\)

Gọi \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\)là \(A\)

         \(\left(2+4+...+100\right)\)là \(B\). Ta có :  

\(A=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}+\frac{1}{9\cdot10}\)

\(A=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{9}-\frac{1}{10}\)

\(A=\frac{1}{1}-\frac{1}{10}=\frac{9}{10}\)

Số số hạng của \(B\)là: \(\left(100-2\right)\div2+1=50\)

Tổng của \(B\)là: \(\left(2+100\right)\times50\div2=2550\)

\(\Rightarrow\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}=x-\left(2+4+..+100\right)=\frac{9}{10}=x-2550\)

\(\Rightarrow x=2550+\frac{9}{10}=2550+0,9=2550,9\)

Hình như đề là: 28.(231+69)+72.(231+69)

=28.231+28.69+72.231+72.69

=231(28+72)+69(28+72)

=100.231+100.69

=100(231+69)

=100.300=30000

28.(231+69) + 72.(321+69)

= 28.300 + 72.300 + 72.90

= 300.(28+72) + 72.9.10

= 300.100 + 648.10

= 30000+ 6480

= 39480

=28.231+28.69+72.321+72.69

=321.(72+28)+69.(72+28)

=321.100+100.69

=100.(321+69)

=100.390=39000

chúc bạn học tốt

\(B=\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+...+\frac{1}{132}\)

\(B=\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+...+\frac{1}{11\cdot12}\)

\(B=\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{11}-\frac{1}{12}\)

\(B=\frac{1}{4}-\frac{1}{12}\)

\(B=\frac{1}{6}\)

Tính nhanh : 

B = 1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90 + 1/110 + 1/132 

B = 1/4.5 + 1/5.6 + 1/6.7 + 1/7.8 + 1/8.9 + 1/9.10 + 1/10.11 + 1/11.12

B = 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + 1/7 - 1/8 + ...... + 1/11 - 1/12

B = 1/4 - 1/12

B = 3/12  - 1/12

B = 2/12

B = 1/6 

C =\(\frac{1}{100}-\frac{1}{100.99}-...\)\(-\frac{1}{3.2}-\frac{1}{2.1}\)

C = \(\frac{1}{100}-\frac{1}{100}+\frac{1}{99}-\frac{1}{99}+...\)\(+\frac{1}{3}-\frac{1}{3}+\frac{1}{2}-\frac{1}{2}+1\)

C = 1

3/2-5/6+7/12-9/20+11/30-13/42+15/56-17/72

=1.5-0.8(3)+0.58(3)-0.3(6)-0.3(095238)+0.267(857142)-0236(1)

=0.(8)

bạn có viết sai đề kg

mk viết ko sai đề đâu