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Question

Let a1, a2, a3, ... be in AP and ap, aq , ar be in GP. Then aq : ap is equal to


  1. 1


Solution

The correct option is C


Let

apa1 + (p - 1)d, aqa1 + (q - 1)d, ara1 + (r - 1)d

as apaqar are in G.P.

aqaparaqaqarapaq  (by law of proportions)

or    aqaparaqa1+(q1)da1(r1)da1+(p1)da1(q1)dqrpq                         or   aqapqrpqrqqp

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