C = ( 1+3+5+....+2015) - ( 2+4+6+.....+ 2016)
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\(A=\left[1+\left(-2\right)\right]+\left[3+\left(-4\right)\right]+....+\left[2013+\left(-2014\right)+2015\right]\)
\(A=\left(-1\right)+\left(-1\right)+....+\left(-1\right)+2015\left(\text{1007 số hạng }\left(-1\right)\right)=1008\)
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=2015-(2015-2016)-2016+22017-2015-22015/22014-(1-4)-3-(5+6)+11
=(2015-2015)+(2016-2016)+22-2+3-3-11+11
=0+0+(4-2)+(3-3)-(11-11)
=2
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a)\(=\frac{2017}{2016}.\frac{3}{4}-\frac{1}{2016}.\frac{3}{4}\)
\(=\frac{3}{4}\left(\frac{2017}{2016}-\frac{1}{2016}\right)\)
\(=\frac{3}{4}.1\)
\(=\frac{3}{4}\)
b)\(=\frac{2015}{2016}\left(\frac{1}{2}+\frac{1}{3}-\frac{5}{6}\right)\)
\(=\frac{2015}{2016}.0\)
\(=0\)
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A = 1/1.2 + 1/2.3 + 1/3.4 + .... + 1/2015.2016
A = 1 - 1/2+1/2-1/3+1/3-1/4+...+1/2015-1/2016
A= 1 - 1/2016
A = 2015/2016
C = (1 + 3 + 5 + ... + 2015) - (2 + 4 + 6 + ... + 2016)
(1008 số) (1008 số)
C = (1 - 2) + (3 - 4) + (5 - 6) + ... + (2015 - 2016) (1008 cặp)
C = -1 + (-1) + (-1) + ... + (-1) (1008 số -1)
C = -1.1008
C = -1008