Question

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

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

Answer 1

@Data_LG2

Answer 2

@whpalmer4 is it different for geometric sequences?

Answer 3

6 * 3 = 18
18 * 3 = 54

so it's 18.

Trial and error :))

Answer 4

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

Answer 5

Thank you both!!

Answer 6

You could find the geometric mean of the two:

\[GM = \sqrt{a*b} = \sqrt{6*54} = \sqrt{324} = 18\]