Question

8. calculati 1 supra 2 × 2 supra 3 × 3 supra 4 × 4 supra 5 × ... × 2005 supra 2005
plss ​

Answer 1

Explicație pas cu pas:

$\bf \dfrac{1}{2} \cdot \dfrac{2}{3} \cdot \dfrac{3}{4} \cdot \dfrac{4}{5} \cdot.... \cdot \dfrac{2004}{2005} =$

$\bf \dfrac{1}{ \not2} \cdot \dfrac{\not2}{\not3} \cdot \dfrac{\not3}{\not4} \cdot \dfrac{\not4}{\not5} \cdot\not \: ....\not \: \: \cdot \dfrac{\not2004}{2005} =$

$\bf \dfrac{1}{ 1} \cdot \dfrac{1}{1} \cdot \dfrac{1}{1} \cdot \dfrac{1}{1} \cdot .... \cdot \dfrac{1}{2005} = \red{\dfrac{1}{2005} }$