Question

If p, q, r are in A.P. , then pth, qth and rth terms of any G.P. are in

• A. A.P.
• B. G. P.
• C. H. P.
• D. A.G.P.

Answer 1

Answer: (B)

G. P.

Answer 2

Let the first term of a G.P. be A and common ratio be R . Then p^th, q^th and r^th terms are AR^p–1, AR^q–1 and AR^r–1. Obviously

AR^p–1× AR^r–1 = AR^p+r–2 = (AR^q–1)²,

as p + r = 2q.

Hence terms are in G.P