Salut,
[tex]1\ \dfrac{1}2\cdot 1\ \dfrac{1}3\cdot1\ \dfrac{1}4\cdot\ldots\cdot 1\ \dfrac{1}{100}=\left(1+\dfrac{1}2\right)\cdot\left(1+\dfrac{1}3\right)\cdot\left(1+\dfrac{1}4\right)\cdot\ldots\cdot\left(1+\dfrac{1}{100}\right)=\\\\=\dfrac{3}2\cdot\dfrac{4}3\cdot\dfrac{5}4\cdot\ldots\cdot\dfrac{100}{99}\cdot\dfrac{101}{100}=\dfrac{101}2.[/tex]
Ai înțeles rezolvarea ?
Green eyes.
