Question

Ajutor
(15-1/2)•(15-2/2)•(15-3/2)...•(15-40/2)

Answer 1

   
[tex]\displaystyle\\ \text{Sa se calculeze:}\\\\ \left(15- \frac{1}{2}\right)\times \left(15- \frac{2}{2}\right)\times \left(15- \frac{3}{2}\right)\times\cdots\times \left(15- \frac{40}{2}\right)\\\\ \text{Numaratorii fractiilor sunt de la 1 la 40}\\ \text{Rezulta ca avem 40 de factori care se inmultesc.}\\\\ \text{Printre factori il gasim pe: }~~\left(15- \frac{30}{2}\right) =15-15 = 0\\\\ \Longrightarrow~~~\text{Produsul dintre cele 40 de paranteze } = \boxed{0}[/tex]