\(A=\dfrac{6}{2.4}+\dfrac{6}{4.6}+\dfrac{6}{6.8}+\dfrac{6}{8.10}+...+\dfrac{6}{30.32}+\dfrac{6}{32.34}\)
\(=6\left(\dfrac{1}{2.4}+\dfrac{1}{4.6}+\dfrac{1}{6.8}+\dfrac{1}{8.10}+...+\dfrac{1}{30.32}+\dfrac{1}{32.34}\right)\)
\(=6\cdot\dfrac{2}{2}\left(\dfrac{1}{2.4}+\dfrac{1}{4.6}+\dfrac{1}{6.8}+\dfrac{1}{8.10}+...+\dfrac{1}{30.32}+\dfrac{1}{32.34}\right)\)
\(=\dfrac{6}{2}\left(\dfrac{2}{2.4}+\dfrac{2}{4.6}+\dfrac{2}{6.8}+\dfrac{2}{8.10}+...+\dfrac{2}{30.32}+\dfrac{2}{32.34}\right)\)
\(=3\left(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{10}+...+\dfrac{1}{30}-\dfrac{1}{32}+\dfrac{1}{32}-\dfrac{1}{34}\right)\)
\(=3\left(\dfrac{1}{2}-\dfrac{1}{34}\right)=3\cdot\dfrac{8}{17}=\dfrac{24}{17}\)
A\(=6\left(\dfrac{1}{2.4}+\dfrac{1}{4.6}+\dfrac{1}{6.8}+...+\dfrac{1}{32.34}\right)\)
A\(=6.\dfrac{1}{2}\left(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+...+\dfrac{1}{32}-\dfrac{1}{34}\right)\)
A\(=3\left(\dfrac{1}{2}-\dfrac{1}{34}\right)\)
A\(=3.\dfrac{8}{17}\)
A\(=\dfrac{24}{17}\)
\(A=3\left(\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+\frac{2}{8.10}+...+\frac{2}{30.32}+\frac{2}{32.34}\right)\)
\(A=3\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}+...+\frac{1}{30}-\frac{1}{32}+\frac{1}{32}-\frac{1}{34}\right)\)
\(A=3\left(\frac{1}{2}-\frac{1}{34}\right)\)
\(A=3.\frac{8}{17}\)
\(A=\frac{24}{17}\).
A=6/2-6/4+6/4-6/6+6/6-6/8+6/8+6/10+......+6/30-6/32+6/32-6/34
A=6/2-6/34
A=81/34
(A=dfrac{2.3}{2.4}+dfrac{2.3}{4.6}+dfrac{2.3}{6.8}+dfrac{2.3}{8.10}+....+dfrac{2.3}{30.32}+dfrac{2.3}{32.34})(A=3(dfrac{2}{2.4}+dfrac{2}{4.6}+dfrac{2}{6.8}+dfrac{2}{8.10}+....+dfrac{2}{30.32}+dfrac{2}{32.34}))
(A=3(dfrac{1}{2}-dfrac{1}{4}+dfrac{1}{4}-dfrac{1}{6}+dfrac{1}{6}-dfrac{1}{8}+dfrac{1}{8}-dfrac{1}{10}+....+dfrac{1}{30}-dfrac{1}{32}+dfrac{1}{32}-dfrac{1}{34}))
(A=3(dfrac{1}{2}-dfrac{1}{32}))
(A=3(dfrac{16}{32}-dfrac{1}{32}))
(A=3.dfrac{15}{32})
(A=dfrac{45}{32})
Vậy (A=dfrac{45}{32})
