Answer :

a, b, c, d are in G.P.


Let r be the common ratio.


Therefore,


b = ar …(1)


c = ar2 …(2)


and d = ar3 …(3)


If somehow we use LHS and Make it equal to RHS, our job will be done.


we can manipulate the LHS of the given equation as –


LHS =


Put the values of a,b,c and d from equation 1,2 and 3


LHS =


LHS =


LHS =


Multiplying a in numerator and denominator –


LHS =


Again from equation 1, 2, and 3, we can see –


LHS = = RHS …hence proved


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