Let the six terms be a₁, a₂, a₃, a₄, a₅, a₆.

And,

A = 27, B

Now, these 6 terms are between A and B.

∴ A, a₁, a₂, a₃, a₄, a₅, a₆, B.

Now all of them are in GP

So we now have 8 terms in GP with the first term being 27 and eighth being 1/81.

We know that, T_n = ar^n–1

Here T_n = , a = 27 and

⇒

⇒

⇒

∴ a₁ = Ar =

a₂ = Ar² =

a₃ = Ar³ =

a₄ = Ar⁴ =

a₅ = Ar⁵ =

a₆ = Ar⁶ =

∴ The six GM between 27 and 1/81 are .