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A=7/10.(1/3 - 1/13 + 1/13 - 1/23 +.......+ 1/53 - 1/63)
= 7/10 .( 1/3 - 1/63 )
=7/10 . 20/63
= 2/9
A=7/10.(1/3 - 1/13 + 1/13 - 1/23 +.......+ 1/53 - 1/63)
A = 7/10 .( 1/3 - 1/63 )
A =7/10 . 20/63
A = 2/9
\(S=\frac{5}{3.13}+\frac{5}{13.23}+.....+\frac{5}{83.93}\)
\(2S=\frac{2.5}{3.13}+\frac{2.5}{13.23}+....+\frac{2.5}{83.93}\)
\(2S=\frac{10}{3.13}+\frac{10}{13.23}+.....+\frac{10}{83.93}\)
\(2S=\frac{1}{3}-\frac{1}{13}+\frac{1}{13}-\frac{1}{23}+....+\frac{1}{83}-\frac{1}{93}\)
\(2S=\frac{1}{3}-\frac{1}{93}=\frac{30}{93}\)
\(S=\frac{30}{93}.\frac{1}{2}=\frac{15}{93}\)
Sửa đề:
\(S=\frac{5}{3.13}+\frac{5}{13.23}+.....+\frac{5}{83.93}\)
\(S=\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{13}+\frac{1}{13}-\frac{1}{23}+....+\frac{1}{83}-\frac{1}{93}\right)\)
\(S=\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{93}\right)\)
\(S=\frac{1}{2}.\left(\frac{31}{93}-\frac{1}{93}\right)\)
\(S=\frac{1}{2}.\frac{10}{31}\)
\(S=\frac{5}{31}\)
là khoảng cách : 13 - 3 = 10 thì ta cho 10 là mẫu số của 7, bn hiểu ko???
A \(=\frac{7}{3.13}+\frac{7}{13.23}+...+\frac{7}{53.63}=\frac{7}{10}.\left(\frac{10}{3.13}+\frac{10}{13.23}+...+\frac{10}{53.63}\right)\)
\(=\frac{7}{10}.\left(\frac{1}{3}-\frac{1}{13}+\frac{1}{13}-\frac{1}{23}+...+\frac{1}{53}-\frac{1}{63}\right)=\frac{7}{10}.\left(\frac{1}{3}-\frac{1}{63}\right)\)
\(=\frac{7}{10}.\frac{20}{63}=\frac{2}{9}\)
đúng cái nhé
\(\dfrac{-1}{9}.\dfrac{-3}{5}+\dfrac{5}{-6}.\dfrac{-3}{5}-\dfrac{7}{2}.\dfrac{3}{5}\)
\(=\dfrac{3}{5}.\left(\dfrac{1}{9}+\dfrac{5}{6}-\dfrac{7}{2}\right)\)
\(=\dfrac{3}{5}.\left(\dfrac{2}{18}+\dfrac{15}{18}-\dfrac{63}{18}\right)\)
\(=\dfrac{3}{5}.\left(-\dfrac{23}{9}\right)\)
\(=-\dfrac{69}{45}\)
`S_1 = 5/(1.4) + 5/(4.7) +...+ 5/(97.100)`
`S_1 = 5 (1/(1.4) + 1/(4.7) +...+ 1/(97.100))`
`S_1 = 5/3 (3/(1.4) + 3/(4.7) +...+ 3/(97.100))`
`S_1 = 5/3 (1 - 1/4 + 1/4 - 1/7 + ...+ 1/97 - 1/100)`
`S_1 = 5/3 (1 - 1/100)`
`S_1 = 5/3 . 99/100`
`S_1 = 33/20`
\(=5\left(\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}\right)\)
\(=5\left(\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{7}-\dfrac{1}{8}\right)\)
\(=5\cdot\dfrac{5}{24}=\dfrac{25}{24}\)
`5/12 + 5/20 + 5/30 + 5/42 + 5/56`
`= 5/(3.4) + 5/(4.5) + 5/(5.6) + 5/(6.7) + 5/(7.8)`
`= 5 . (1/(3.4) + 1/(4.5) + ... + 5/(7.8))`
`= 5 . (1/3 - 1/4 + 1/4 - 1/5 + ...+ 1/7 - 1/8)`
`= 5 . (1/3 - 1/8) `
`= 5 . 5/24 = 25/24`
\(\frac{7}{3.13}+\frac{7}{13.23}+\frac{7}{23.33}+\frac{7}{33.43}\)
\(=\frac{7}{10}\left(\frac{10}{3.13}+\frac{10}{13.23}+\frac{10}{23.33}+\frac{10}{33.43}\right)\)
\(=\frac{7}{10}\left(\frac{1}{3}-\frac{1}{13}+\frac{1}{13}-\frac{1}{23}+\frac{1}{23}-\frac{1}{33}+\frac{1}{33}-\frac{1}{43}\right)\)
\(=\frac{7}{10}\left(\frac{1}{3}-\frac{1}{43}\right)\)
\(=\frac{7}{10}\left(\frac{43}{129}-\frac{3}{129}\right)\)
\(=\frac{7}{10}.\frac{40}{129}\)
\(=\frac{28}{129}\)
mk làm đúng rồi nha, ko tin bấm thử máy tính
7/3.13 + 7/13.23 + 7/23.33 + 7/33.43
= 7/10.(1/3-1/13+1/13-1/23+1/23-1/33+1/33-1/43)
= 7/10.(1/3-1/43)
= 7/10 . 14/43
= 49/215
5/3.13 + 5/13.23 + 5/23,33
= 1,975373039 + 5/23,33
=2,18968937
bạn ơi mình = không