Ta có :
\(C=\dfrac{1}{2}+\dfrac{1}{14}+\dfrac{1}{35}+\dfrac{1}{65}+\dfrac{1}{104}+\dfrac{1}{152}\)
\(C=\dfrac{1}{1.2}+\dfrac{1}{2.7}+\dfrac{1}{7.5}+\dfrac{1}{5.13}+\dfrac{1}{13.16}+\dfrac{1}{16.19}\)
\(C=\dfrac{2}{3}\left(\dfrac{3}{1.4}+\dfrac{3}{4.7}+\dfrac{3}{7.10}+\dfrac{3}{10.13}+\dfrac{3}{13.16}+\dfrac{3}{16.19}\right)\)
\(C=\dfrac{2}{3}\left(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{13}+\dfrac{1}{13}-\dfrac{1}{16}+\dfrac{1}{16}-\dfrac{1}{19}\right)\)
\(C=\dfrac{2}{3}\left(1-\dfrac{1}{19}\right)\)
\(C=\dfrac{2}{3}.\dfrac{18}{19}=\dfrac{12}{19}\)
~ Học tốt ~
C=2/4+2/28+2/70+2/130+2/208+2/304
C=2/1.4+2/4.7+2/7.10+2/10.13+2/13.16+2/16.19
C=2/3.(3/1.4+3/4.7+3/7.10+3/10.13+3/13.16+3/16.19)
C=2/3(1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16+1/16-1/19)
C=2/3(1-1/19)
C=2/3.18/19=12/19