If p, q and r are three unequal numbers such that p, q and r are in A.P., and p, r-q and q-p are in G.P., then p : q : r is equal to:
Explanation:
Without loss of generality, p < q < r
∴ r – q = q – p = d
p, r – q and q – p are in G.P.
i.e., p, d, d are in G. P.
So, p = d
∴ q = p + d = 2d and r = 3d
∴ p : q : r = 1 : 2 : 3
Hence, option (d).
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.