Question

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

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

Answer 1

Answer: (B)

Geometric progression

p,q,r are in G.P and a,b,c are in G.P.

Clearly, ap, bq, cr are in G.P because on multiplying corresponding terms of two G.P's and resulting term is also in G.P.

e.g:

$G_1=2,\sqrt{2},1,\frac{1}{\sqrt{2}},...$

$G_2=3,\sqrt{3},1,\frac{1}{\sqrt{3}},....$

On multiplying corresponding terms of G.P's

$G_3=6,\sqrt{6},1,\frac{1}{\sqrt{6}},...........$ which is also in G.P.

Hence, B is the correct option.