Question

calculati : 1/2*4+1/4*6+1/6*8+...+1/2008*2010 . va rog ! dau coroana

Answer 1

Aplicam [tex] \frac{1}{n*k}= \frac{1}{n} - \frac{1}{k} ( n \ \textless \ k !) Deci: \frac{1}{2}- \frac{1}{4} + \frac{1}{4} - \frac{1}{6} + \frac{1}{6} -...- \frac{1}{2008} + \frac{1}{2008} - \frac{1}{2010} [/tex] = $\frac{1}{2} - \frac{1}{2010} = \frac{1004}{2010}$
Sper ca te-am ajutat si se vede bine ecuatia ! :D