Question

aflati suma primelor 10 zecimale ale numarului 5,2(32)

Answer 1

   
[tex]\displaystyle \\ 5,2(32) = 5,(23) \\ \\ \text{Verificare: } \\ \\ 5,2(32) = \frac{5232-52}{990}= \frac{5180}{990}= \boxed{\frac{518}{99}} \\ \\ 5,(23)= \frac{523-5}{99} = \boxed{\frac{518}{99}} \\ \\ \texttt{Suma primelor 10 zecimale ale numarului: } \\ \\ 5,(23) = 5, 2323232323... ~~~~~\texttt{este:} \\ S=(2+3)+(2+3)+(2+3)+(2+3)+(2+3) = \\ \\ = 5(2+3) = 5 \times 5 = \boxed{\boxed{25}}[/tex]