Question

Calcule o valor da expressão
5^n+2 + 5^n + 5^n-1 /5^n+1

Answer 1

5^(n+2)+5^n+5^(n-1)/5^(n+1)

5^(n+2)=25.5^n
5^(n-1)=5^n/5

25.5^n+5^n+5^n/5/5.5^n
5^n(25+1+1/5)/5^n.5
26+1/5/5
131/25

$\boxed{resultado = \frac{131}{25} }$