Tính A = \(\left(1+\dfrac{1}{1.3}\right)\left(1+\dfrac{1}{2.4}\right)\left(1+\dfrac{1}{3.5}\right)....\left(1+\dfrac{1}{99.101}\right)\)
tính
S=\(\dfrac{1}{1.3}-\dfrac{1}{2.4}+\dfrac{1}{3.5}-\dfrac{1}{4.6}+\dfrac{1}{5.7}-\dfrac{1}{6.8}+\dfrac{1}{7.9}-\dfrac{1}{8.10}\)
ai biết giúp mk nha ...thanks nhìu....đúng mk tik
1.tìm x
a) (\(\dfrac{2}{11.13}+\dfrac{2}{13.15}+...+\dfrac{2}{19.21}).462-[2,04:(x+1,05)]:0,12=19\)
b) \(\dfrac{1}{24.25}+\dfrac{1}{25.26}+...+\dfrac{1}{29.30}+x:\dfrac{1}{3}=-4\)
2. thực hiện phép tính
a)\(\dfrac{15}{28}-\dfrac{186}{116}-\dfrac{121}{462}+\dfrac{189}{198}\)
b)\((1+\dfrac{1}{1.3}).(1+\dfrac{1}{2.4}).(1+\dfrac{1}{3.5})...(1+\dfrac{1}{99.100})\)
Tính nhanh:
M= \(\dfrac{\dfrac{3}{5}+\dfrac{3}{7}-\dfrac{3}{11}}{\dfrac{4}{5}+\dfrac{4}{7}-\dfrac{4}{11}}\)
B = \(\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+....+\dfrac{2}{99.101}\)
Cứu mai thi rồi
Tính tổng S : (1+\(\dfrac{1}{1.3}\) ).(1+\(\dfrac{1}{2.4}\)).(1+\(\dfrac{1}{3.5}\))...(1+\(\dfrac{1}{2009.2011}\))
Tìm x:
a)\(2016x+\left(\dfrac{7}{12}+\dfrac{4}{21}+\dfrac{2}{24}+\dfrac{11}{30}+\dfrac{3}{40}+\dfrac{15}{56}\right)-\left(\dfrac{2}{3}+\dfrac{2}{4}+\dfrac{2}{5}\right)=0\)
b\(\dfrac{2x-1}{x+2015}-\dfrac{4025}{x+2017}=\dfrac{x-2014}{2x-4036}-\dfrac{x-2013}{2x-4030}\) (x thuộc N)
c)\(\left(1+\dfrac{1}{1.3}\right)\left(1+\dfrac{1}{2.4}\right)\left(1+\dfrac{1}{3.5}\right)...\left(1+\dfrac{1}{x\left(x+2\right)}\right)=\dfrac{4016}{2007}\)
AI GIÚP MK VỚI MK TICK CHO
1. Tính giá trị của biểu thức :
a) ( 1 - \(\dfrac{1}{3}\) ) . ( 1- \(\dfrac{1}{6}\) ) . ( 1 - \(\dfrac{1}{10}\) ) ...... ( 1 - \(\dfrac{1}{780}\) )
b) \(\dfrac{2^4}{7.15}+\dfrac{2^4}{15.23}+\dfrac{2^4}{23.31}+.....+\dfrac{2^4}{55.63}-\dfrac{6.\left(-14\right)-17.\left(-7\right).\left(-2\right)}{-22.28}\)
2. Tìm số tự nhiên n biết : \(\dfrac{4}{3.5}+\dfrac{8}{5.9}+\dfrac{12}{9.15}+.....+\dfrac{32}{n.\left(n+16\right)}=\dfrac{16}{25}\)
3. So sánh A và B biết :
a) A = \(\dfrac{2003.2004-1}{2003.2004}\) và B = \(\dfrac{2004.2005-1}{2004.2005}\)
b) A = \(\dfrac{10^{25}+1}{10^{26}+1}\) và B = \(\dfrac{10^{26}+1}{10^{27}+1}\)
Tính nhanh:
\(M=\dfrac{1}{1.3}+\dfrac{1}{3.5}+\dfrac{1}{5.7}+...+\dfrac{1}{995.997}+\dfrac{1}{997.999}\)
Tinh nhanh:
\(\dfrac{2}{1.3}\) + \(\dfrac{2}{3.5}\) + \(\dfrac{2}{5.7}\) +...+ \(\dfrac{2}{99.101}\) b) \(\dfrac{5}{1.3}\) +\(\dfrac{5}{3.5}\) + \(\dfrac{5}{5.7}\) + ... + \(\dfrac{5}{99.101}\)
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