CMR: 1/1.2+1/3.4+1/5.6+1/7.8+...+1/2013.2014=1/1008+1/1009+1/1010+...+1/2013+1/2014
Chứng minh rằng
1/1.2 + 1/3.4 + 1/5.6 + 1/7.8 + ... + 1/2013.2014 = 1/1008 + 1/1009 + 1/1010 +...+ 1/2013+ 1/2014
cho
A=1/1008+1/1009+.....+1/2014
B=1/1008*2014+1/1009*2013+......+1/2014*1008
hay chung minh rang B/A la so nguyen
Tính B=1/1008*2014 + 1/1009*2013 + 1/1010*2012 + ...+ 1/2014*1008
1/1*2+1/3*2+1/5*6+.....+1/2013*2014
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1/1008*2014+1/1009*2013+1/1010*2012+....1/2014*2018
Cho A=1/1.2+1/3.4+1/5.6+...+1/2015.2016 và B=1/1008+2/1009+1/1010+...+1/2016. Tính B-A
cho A=1/1.2+1/3.4+1/5.6+.....+1/2015.2016 và B= 1/1008+1/1009+....+1/2016
tính A-B
CMR :
\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{2013}-\frac{1}{2014}=\frac{1}{1008}+\frac{1}{1009}+\frac{1}{1010}+...+\frac{1}{2014}\)
Câu 1 : Tính
A= 1/2 + 1/3 + 1/4 +...+1/300
B= 2999/1 + 2998/2 + 2997/3 +...+1/2999
Tính \(\frac{A}{B}\)
Câu 2
C= (1+2012/1)(1+2012/2)....(1+2012/1000)
D=(1+1000/1)(1+1000/2)(1+1000/3)...(1+1000/2012)
Tính \(\frac{C}{D}\)
Câu 3
Cho E=1/1.2 + 1/3.4 + 1/5.6 +...+1/2013/2014
F=1/1008/2014 + 1009/2013 +.....+1/2014.1008
Tính \(\frac{E}{F}\)