Question

Dada a PG (1/2,x,32,y) por favor o cálculo

Answer 1

Valor de x:

$\frac{x}{ \frac{1}{2} } = \frac{32}{x} \\ 2x = \frac{32}{x} \\ 2 {x}^{2} = 32 \\ {x}^{2} = \frac{32}{2} \\ {x}^{2} = 16 \\ x = \sqrt{16} = 4$
Valor de y:
$\frac{32}{x} = \frac{y}{32} \\ \frac{32}{4} = \frac{y}{32} \\ 8 = \frac{y}{32} \\ y = 32 \times 8 = 256$