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\(C=\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+...+\frac{1}{190}\)
\(C=\frac{2}{30}+\frac{2}{42}+\frac{2}{56}+...+\frac{2}{380}\)
\(C=2\left(\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+...+\frac{1}{19.20}\right)\)
\(C=2\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+...+\frac{1}{19}-\frac{1}{20}\right)\)
\(C=2\left(\frac{1}{5}-\frac{1}{20}\right)\)
\(C=2\cdot\frac{3}{20}=\frac{3}{10}\)
\(B=2.\left(\frac{1}{30}+\frac{1}{42}+...+\frac{1}{380}\right)\)
\(B=2.\left(\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{19.20}\right)\)
\(B=2.\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{19}-\frac{1}{20}\right)\)
\(B=2.\left(\frac{1}{5}-\frac{1}{20}\right)\)
\(B=2.\frac{3}{20}\)
\(B=\frac{3}{10}\)
Đáp án này là chính xác nhất đó, mình thề. k cho mình nhé
- 2.s= 1/30+1/42+1/56+...+ 1/380
2.S= 1/ 5.6 =1/ 6.7 +1/ 7.8 +...+1/ 19.20
2.S= 1/5-1/20
2S= 3/20
\(F=\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+...+\frac{1}{190}\)
\(\Rightarrow F=\frac{2}{30}+\frac{2}{42}+\frac{2}{56}+...+\frac{2}{380}\)
\(\Rightarrow F=\frac{2}{5.6}+\frac{2}{6.7}+\frac{2}{7.8}+...+\frac{2}{19.20}\)
\(\Rightarrow F=2.\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+...+\frac{1}{19}-\frac{1}{20}\right)\)
\(\Rightarrow F=2.\left(\frac{1}{5}-\frac{1}{20}\right)\)
\(\Rightarrow F=2.\frac{3}{20}\)
\(\Rightarrow F=\frac{3}{10}\)
1/15+1/21+1/28+...+1/190
=2/30+2/42+2/56+...+2/380
=2/5.6+2/6.7+2/7.8+...+2/19.20
=2.(1/5.6+1/6.7+1/7.8+...+1/19.20)
=2.(1/5-1/6+1/6-1/7+1/7-1/8 +...+1/19-1/20)
=2.(1/5-1/20)
=2.3/20
=6/20=3/10