Respuesta :

Let the missing number be x
r= x/50= 450/x
x^2 = 22500
x = 150

Answer: The missing term of the Geometric sequence can be 150.

Step-by-step explanation:

Let the missing number is x,

Hence, the G.P. will,

50, x, 450

Since, the consecutive element of G.P. are in same ratio,

[tex]\implies \frac{x}{50}= \frac{450}{x}[/tex]

[tex]\implies x^2 = 50\times 450 = 22500[/tex]

[tex]\implies x = 150[/tex]

Thus, the missing term of the Geometric sequence can be 150.