Question

Calculează: (1+½)•(1+⅓)•(1+¼)•...•(1+¹/50)=?
Vă rooog frumos!!!Dau coroană​

Answer 1

Răspuns:

Explicație pas cu pas:

Daca se fac adunarile in paranteze obtinem:

$\frac{3}{2}*\frac{4}{3}*\frac{5}{4}*...*\frac{51}{50}=\frac{51}{2}=25\frac{1}{2}$

Se fac simplificari repetate, ramane numitorul primei fractii si numitorul ultimei fractii.

Answer 2

$\it \Big(1+\dfrac{1}{2}\Big)\cdot \Big(1+\dfrac{1}{3}\Big)\cdot \Big(1+\dfrac{1}{4}\Big)\cdot\ ...\ \cdot \Big(1+\dfrac{1}{50}\Big)= \dfrac{3}{2}\cdot\dfrac{4}{3}\cdot\dfrac{5}{4}\cdot\ ...\ \cdot\dfrac{51}{50}=\dfrac{51}{2}$