Please help! Show all steps. Will give medal to best answer!

Identify the missing term of the geometric sequence: 6,__,54,...

Question

Please help! Show all steps. Will give medal to best answer!

Identify the missing term of the geometric sequence: 6,__,54,...

anonymous · Answer

@Data_LG2

anonymous · Answer

@whpalmer4 is it different for geometric sequences?

anonymous · Answer

6 * 3 = 18
18 * 3 = 54

so it's 18. 

Trial and error :))

anonymous · Answer

i'm not sure 
but here's my method
since it's geometric, their ratio with the unknown term (x) will be equal
$\Large \frac{x}{6} = \frac {54}{x}$
solve for "x"
$x^2=(54)(6)\x= \sqrt{864}\x=18$
i got same thing XD

anonymous · Answer

Thank you both!!

whpalmer4 · Answer

You could find the geometric mean of the two:

$$GM = \sqrt{a*b} = \sqrt{6*54} = \sqrt{324} = 18$$