If p,q,r are in one geometric progression and a,b,c are in another geometric progression, then ap, bq, cr are in

Options

A. Arithmetic progression
B. Geometric progression
C. Harmonic progression
D. None of the above

Answer

B

Explanation

Let the common ratio be `K_(1)` for p, q and r.
`:." "q=K_(1)p`
&`" "r=(K_(1))^(2)p`
Let the common ratio be `K_(2)` for a, b and c
`:." "b=K_(2)a`
&`" "c=(K_(2))^(2)a`
`:." "bq=(K_(1)K_(2))ap`
&`" "Cr=(K_(1)K_(2))^(2)ap`
So ap, bq, cr are in G.P.