Question

Rezolvarea completă

Answer 1

Răspuns:

Explicație pas cu pas:

$1\dfrac{1}{2}\cdot 1\dfrac{1}{3}\cdot 1\dfrac{1}{4}\cdot \ldots \cdot 1\dfrac{1}{100}=\\\\\dfrac{2+1}{2}\cdot \dfrac{3+1}{3}\cdot \dfrac{4+1}{4}\cdot \ldots \cdot \dfrac{100+1}{100}=\\\\\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot\dfrac{5}{4}\cdot \ldots\cdot \dfrac{101}{100}=\\\texttt{Termenii se simplifica si in sfarsit mai ramane }\boxed{\dfrac{101}{2}}$