4+8+12+16+...+4x=24.Giúp mình với
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A = \(\dfrac{4}{1\times3}\) - \(\dfrac{8}{3\times5}\) + \(\dfrac{12}{5\times7}\) - \(\dfrac{16}{7\times9}\) + \(\dfrac{20}{9\times11}\) - \(\dfrac{24}{11\times13}\)
A = ( \(\dfrac{1}{1}+\dfrac{1}{3}\)) - ( \(\dfrac{1}{3}\) + \(\dfrac{1}{5}\)) + (\(\dfrac{1}{5}\)+ \(\dfrac{1}{7}\)) - ( \(\dfrac{1}{7}\) + \(\dfrac{1}{9}\)) +( \(\dfrac{1}{9}\)+ \(\dfrac{1}{11}\)) - (\(\dfrac{1}{11}\)+\(\dfrac{1}{13}\))
A = \(\dfrac{1}{1}+\dfrac{1}{3}\) - \(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{7}\) - \(\dfrac{1}{7}\) - \(\dfrac{1}{9}\) + \(\dfrac{1}{9}\) + \(\dfrac{1}{11}\) - \(\dfrac{1}{11}\) - \(\dfrac{1}{13}\)
A = \(\dfrac{1}{1}\) - \(\dfrac{1}{13}\)
A = \(\dfrac{12}{13}\)
2+(4-6-8+10) +(12-14-16+18) +.......-2008
2+0+0+....-2008
2+2008=2010
\(\frac{2}{7}+\frac{7}{12}=\frac{24}{84}+\frac{49}{84}=\frac{73}{84}\)
\(\frac{25}{48}+\frac{22}{48}=\frac{47}{48}\)
\(\frac{5}{7}+\frac{3}{8}=\frac{40}{56}+\frac{21}{56}=\frac{61}{56}\)
\(\frac{15}{24}+\frac{15}{16}=15.\left(\frac{1}{24}+\frac{1}{16}\right)=\frac{25}{16}\)
\(\frac{5}{6}+\frac{3}{4}=\frac{20+18}{24}=\frac{19}{12}\)
\(\frac{9}{24}+\frac{14}{24}=\frac{23}{24}\)
học tót tích mình hem
B=2+(4-6-8+10)+(12-14-16+18)+...+(2008-2010-2012+2014)-2016-2018
B=2+0+0+...+0-2016-2018
B=-2016-2016=-4032
T i c k nha
Đặt tổng trên là S, ta có:
S = 2+4-6-8 +10+12-14-16+18+20-22-24....-2008
S = (2+4-6-8) +(10+12-14-16)+(18+20-22-24)...(...-2008)
S = (-8)+ (-8) + (-8) +...+ (-8)
Có 10094số hạng
=> Có 1004:4= 251 số (-8)
S = (-8). 251= -2008
Vậy S = -2008
12/20=6/10=3/5
24/36=8/12=
3/4=9/12=12/16=15/20
2/5=4/10
12/30=4/10
72/45=8/5
1/4=7/28