Question

efectuați (1-1/2)×(1-1/3)×(1-1/4)×....×(1-1/50)

Answer 1

1/2×2/3×3/4×.........×49/50=
dupa simplificari ⇒ 1/50
Acesta este rezultatul final !

Answer 2

$S=(1- \frac{1}{2} )(1- \frac{1}{3} )....(1- \frac{1}{50} ) \\ \\ S=( \frac{2-1}{2} )( \frac{3-1}{3} )....( \frac{50-1}{50} ) \\ \\ S= \frac{1}{2} * \frac{2}{3} *....* \frac{49}{50} \\ \\ S= \frac{1}{50}$