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Có số số hạng ở dãy là:
(2017 - 1) : 3 + 1 = 673
Vậy tổng là:
(2017+1) x 673 : 2 = 679 057
vaqy aii ncha biet nnhung phai viet ro ra co nhu the nay nay :(1+2017)+(4+2014+...+bao nhieu so o giua ay minh tinh ko ra
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A=1/2*5+1/5*8+1/8*11+...+1/2012*1015
=1/3*(1/2-1/5+1/5-1/8+1/8-1/11+...+1/2012-1/2015)
=1/3*(1/2-1/1/2015)
=1/3*2013/4030
=671/4030
vậy A=671/4030
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b, 53 / 4 . 11/ 16 - 23/4 . 11/16
=11/16(53/4+23/4)
=11/6.19
=209/6
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Ta có:\(\frac{1}{2x}+\frac{2}{3\left(x-1\right)}=\frac{1}{3}\)
\(\frac{3\left(x-1\right)}{6x\left(x-1\right)}+\frac{4x}{6x\left(x-1\right)}=\frac{1}{3}\)
\(\frac{3x-3+4x}{6x\left(x-1\right)}=\frac{1}{3}\)
\(\frac{7x-3}{6x\left(x-1\right)}=\frac{1}{3}\)
\(\Rightarrow21x-9=6x^2-6x\)
\(\Rightarrow21x-9-6x^2+6x=0\)
\(\Rightarrow-6x^2+27x-9=0\)
Đến đây mk gợi ý thôi nha
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\(\left(1+\frac{1}{3}\right).\left(1+\frac{1}{8}\right).\left(1+\frac{1}{15}\right)...\left(1+\frac{1}{2014.2016}\right)\)
\(=\frac{4}{3}.\frac{9}{8}.\frac{16}{15}...\frac{4060225}{2014.2016}\)
\(=\frac{2.2}{1.3}.\frac{3.3}{2.4}.\frac{4.4}{3.5}...\frac{2015.2015}{2014.2016}\)
\(=\frac{2.3.4...2015}{1.2.3...2014}.\frac{2.3.4...2015}{3.4.5...2016}\)
\(=2015.\frac{2}{2016}\)
\(=2015.\frac{1}{1008}=\frac{2015}{2008}\)