Insert 5 geometri

Let the five terms be a₁, a₂, a₃, a₄, a₅.

And,

A = 16, B

Now, these 5 terms are between A and B.

∴ A, a₁, a₂, a₃, a₄, a₅, B.

Now all of them are in GP

So we now have 7 terms in GP with the first term being 16 and seventh being 1/4.

∴ T_n = ar^n–1

Here T_n , a = 16 and

⇒

⇒

⇒

∴ a₁ = Ar =

a₂ = Ar² =

a₃ = Ar³ =

a₄ = Ar⁴ =

a₅ = Ar⁵ =

∴ The six GM between 16 and 1/4 are .