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a)\(=\frac{-5}{2}:\left(\frac{3}{4}-\frac{2}{4}\right)\)
\(=\frac{-5}{2}:1=\frac{-5}{2}\)
b)\(=\frac{146}{13}-\left(\frac{18}{7}+\frac{68}{13}\right)\)
\(=\frac{146}{13}-\frac{18}{7}-\frac{68}{13}\)
\(=\frac{146}{13}-\frac{68}{13}-\frac{18}{7}\)
\(=\frac{78}{13}-\frac{18}{7}=6-\frac{18}{7}=\frac{42}{7}-\frac{18}{7}=\frac{24}{7}\)
c)\(=\left(\frac{-5}{24}+\frac{18}{24}+\frac{14}{24}\right):\left(\frac{-9}{4}\right)^2\)
\(=\frac{27}{24}:\frac{\left(-9\right)^2}{4^2}\)
\(=\frac{27\times16}{24\times81}=\frac{2}{9}\)
C = (-1/2).(-2/3). ...... .[-(n-1)/n]
+, Nếu n lẻ thì :
C = 1/2.2/3. .... . (n-1)/n = 1/n
+, Nếu n chẵn thì :
C = -[1/2.2/3. ..... . (n-1)/n] = -1/n
Vậy .............
Tk mk nha
\(\Rightarrow C=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot...\cdot\frac{n-1}{n}\)
\(\Rightarrow C=\frac{1}{n}\)
\(B=\left(1+\dfrac{1}{8}\right)\left(1+\dfrac{1}{15}\right)\left(1+\dfrac{1}{24}\right).....\left(1+\dfrac{1}{440}\right)\left(1+\dfrac{1}{483}\right)\)
\(B=\dfrac{9}{8}.\dfrac{16}{15}.\dfrac{25}{24}.....\dfrac{441}{440}.\dfrac{484}{483}\)
\(B=\dfrac{9.16.25.....441.484}{8.15.24.....440.483}\)
\(B=\dfrac{3.3.4.4.5.5.....21.21.22.22}{2.4.3.5.4.6.....20.22.21.23}\)
\(B=\dfrac{3.4.5.....21.22}{2.3.4.....20.21}.\dfrac{3.4.5.....21.22}{4.5.6.....22.23}\)
\(B=11.\dfrac{3}{23}=\dfrac{33}{23}\)
B = \(\dfrac{4}{3}.\dfrac{9}{8}.\dfrac{16}{15}.\dfrac{25}{24}...\dfrac{121}{120}.\dfrac{144}{143}\)
B = \(\dfrac{4.9.16.25...121.144}{3.8.15.24....120.143}\)
B = \(\dfrac{2.2.3.3.4.4.5.5...11.11.12.12}{1.3.2.4.3.5.4.6...10.12.11.13}\)
B = \(\dfrac{2.3.4.5...11.12}{1.2.3.4.5...10.11}.\dfrac{2.3.4.5...11.12}{3.4.5.6.7...12.13}\)
B = 12 . \(\dfrac{2}{13}\)
B = \(\dfrac{24}{13}\)
24 chia hết cho (n+2)
suy ra (n+2) thuộc ước của 24
suy ra Ư (24)={1,2,3,4,6,12,24}
ta có bảng:
22
vậy n thuộc {0,1,2,4,10,22}