If a, b, c are in G.P. and logca, logbc, logab are in A.P. then find the common difference of the A.P. Share with your friends Share 13 Rahul Raj answered this dear student let a,b,c be b/r,b,bra=b/rb=bc=brwhere r is the common ratio of GPnow the three terms are in AP2logcb= logac+logba2logclogb=logalogc+logbloga2logb+logrlogb=logb-logrlogb+logr+logblogb-logr2(1+t)=1-t1+t+11-t where t=logrbsimplifying we ge2t2+3t-3=0t21-t=32common difference=11-t-(1+t)=t21-t=32 regards 62 View Full Answer