A =11x5+15x10+110x15+115x20+....+1205x2010
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=15x(36-10)+26x85
=15x26+26x85
=26x(15+85)
=26x100
=2600
=15x(36-10)+26x85
=15x26+26x85
=26x(15+85)
=26x100
=2600
\(\dfrac{8}{7}+\dfrac{-6}{7}.\dfrac{4}{11}-\dfrac{4}{11}.\dfrac{5}{11}\)
\(=\dfrac{8}{7}+\dfrac{4}{11}\left(-\dfrac{6}{7}-\dfrac{5}{11}\right)\)
\(=\dfrac{8}{7}+\dfrac{4}{11}.\dfrac{-101}{77}\)
\(=\dfrac{8}{7}+-\dfrac{404}{847}\)
\(=\dfrac{564}{847}\)
Ta có:
\(\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}+...+\frac{2}{97.99}\)
\(=\frac{2}{11}-\frac{2}{13}+\frac{2}{13}-\frac{2}{15}+\frac{2}{15}-\frac{2}{17}+...+\frac{2}{97}-\frac{2}{99}\)
\(=\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+...+\frac{1}{97}-\frac{1}{99}\)
\(=\frac{1}{11}-\frac{1}{99}=\frac{8}{99}\)
Sửa lại đề bài nhé:
\(\frac{2}{11x13}+\frac{2}{13x15}+\frac{2}{15x17}+.........+\frac{2}{97x99}\)
= \(\frac{2}{11}-\frac{2}{13}+\frac{2}{13}-\frac{2}{15}+\frac{2}{15}-\frac{2}{17}+..........+\frac{2}{97}-\frac{2}{99}\)
Sau khi trực tiêu hết ta có:
= \(\frac{2}{11}-\frac{2}{99}\)
= \(\frac{16}{19}\)
\(C=\frac{4}{3x7}+\frac{4}{7x11}+\frac{4}{11x15}+\frac{4}{15x19}+\frac{4}{19x23}+\frac{4}{23x27}\)
= 1/3-1/7+1/7-1/11+1/11-1/15+1/15-1/19+1/19-1/23+1/23-1/27
=1/3-(1/7+1/7)-(1/11+1/11)-(1/15-1/15)-(1/19+1/19)-(1/23-1/23)-1/27
=1/3-1/27
=...
=8/27