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20 tháng 7 2019
\(\frac{1}{5.3}+\frac{1}{3.7}+\frac{1}{7.4}+\frac{1}{4.9}+...+\frac{1}{11.6}\)
\(=\frac{1}{5}-\frac{1}{3}+\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{4}+\frac{1}{4}-\frac{1}{9}+...+\frac{1}{11}-\frac{1}{6}\)
\(=\frac{1}{5}-\frac{1}{6}\)
\(=\frac{1}{30}\)
Không ngờ em tự nhận mk là toán - anh - văn mà k làm được cái câu dễ này á thật nực cười nên bỏ tính khoe khoang đi nha
NG
1
AN
10 tháng 4 2017
A =\(2.\left(\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+......+\dfrac{1}{156}\right)\)
A =\(2.\left(\dfrac{1}{3.4}+\dfrac{1}{4.5}+\dfrac{1}{5.6}+\dfrac{1}{6.7}+..........+\dfrac{1}{12.13}\right)\)
A =2.\(\left(\dfrac{1}{3}-\dfrac{1}{13}\right)\)
A=\(2.\dfrac{10}{39}=\dfrac{20}{39}\)
GG
1 tháng 4 2017
1/2 . A=1/42+1/56+1/72+1/90+...+1/420
1/2 . A=1/6.7+1/7.8+1/8.9+1/9.10+...+1/20.21
1/2 .A=1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+....+1/20-1/21
1/2 . A=1/6-1/21
1/2 .A=5/42
A=5/42:1/2
A=5/21
Chúc bạn học giỏi nhớ tick cho mình nhé
AT
1 tháng 4 2017
\(A=\dfrac{1}{21}+\dfrac{1}{28}+\dfrac{1}{36}+\dfrac{1}{45}+...+\dfrac{1}{210}\)
\(2.\left(\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}+\dfrac{1}{90}+...+\dfrac{1}{420}\right)\)
\(2.\left(\dfrac{1}{6.7}+\dfrac{1}{7.8}+\dfrac{1}{8.9}+\dfrac{1}{9.10}+...+\dfrac{1}{20.21}\right)\)
\(2.\left(\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}+...\dfrac{1}{20}+\dfrac{1}{21}\right)\)
\(=2.\left(\dfrac{1}{6}-\dfrac{1}{21}\right)=\dfrac{5}{21}\)
1 tháng 4 2017
A = \(\dfrac{1}{21}+\dfrac{1}{28}+\dfrac{1}{36}+\dfrac{1}{45}+...+\dfrac{1}{210}\)
A = \(\dfrac{2}{42}+\dfrac{2}{56}+\dfrac{2}{72}+\dfrac{2}{90}+...+\dfrac{2}{210}\)
A = \(\dfrac{2}{6.7}+\dfrac{2}{7.8}+\dfrac{2}{8.9}+\dfrac{2}{9.10}+...+\dfrac{2}{14.15}\)
A = \(2.\left(\dfrac{1}{6.7}+\dfrac{1}{7.8}+\dfrac{1}{8.9}+\dfrac{1}{9.10}+...+\dfrac{1}{14.15}\right)\)
A = \(2.\left(\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}+...+\dfrac{1}{14}-\dfrac{1}{15}\right)\)
A = \(2.\left(\dfrac{1}{6}-\dfrac{1}{15}\right)\)
A = \(2.\dfrac{1}{10}\)
A = \(\dfrac{2}{10}\)
A = \(\dfrac{1}{5}\)
12 tháng 9 2015
Coi \(A=\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+\frac{1}{45}\)
\(\Rightarrow\frac{1}{2}A=\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+\frac{1}{45}\right).\frac{1}{2}\)
\(=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\)
\(=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\)
\(=\frac{1}{2}-\frac{1}{10}=\frac{2}{5}\)
\(\Rightarrow A=\frac{2}{5}:\frac{1}{2}=\frac{4}{5}\)
F= 1/21+1/28+1/36+1/45+...+1/66
F/2=1/42+1/56+1/72+1/90+...+1/132
F/2=1/6.7+1/7.8+1/8.9+1/9.10+...+1/11.12
F/2=1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+...+1/11-1/12
F/2=1/6-1/12
F/2=1/12
F=1/12.2
F=1/6