Tính C biết : C = ( 1 + $\frac{1}{1.3}$ )(1 + $\frac{1}{2.4}$ )(1+$\frac{1}{3.5}$ )…..(1+$\frac{1}{2014.2016}$ )

$\text{C = (1 + $\frac{1}{1.3}$ )( 1 + $\frac{1}{2.4}$ )( 1 + $\frac{1}{3.5}$ )….( 1 + $\frac{1}{2014.2016}$ )}$

$\text{C = $\frac{4}{1.3}$ . $\frac{9}{2.4}$ . $\frac{16}{3.5}$ ….. $\frac{4060225}{2014.2016}$ }$

$\text{C = $\frac{2.2}{1.3}$ . $\frac{3.3}{2.4}$ . $\frac{4.4}{3.5}$ ….. $\frac{2015.2015}{2014.2016}$ }$

$\text{C = $\frac{2.2.3.3.4.4…..2015.2015}{1.3.2.4.3.5…..2014.2016}$ }$

$\text{C = $\frac{2}{2016}$ }$

$\text{C = $\frac{2 : 2}{2016 : 2}$ }$

$\text{C = $\frac{1}{1008}$ }$

$\text{⇒ C = $\frac{1}{1008}$ }$
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