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ob care pq and terms respectively of a GP Prove the ingat Logb 4 11 1 linge

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If a,b,and c are positive and are the pth, qth and rth terms respectively of a GP. Show without expanding that |{:(loga,p,1),(logb,q,1),(logc,r,1):}|=0

If a,b,c are pth, qth rth terms respectivelyy of a G.P then |(loga, p, 1),(logb, q, 1),(logc, r, 1)|=

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If S_1, S_2, S_3 are the sums to n, 2n, 3n terms respectively for a GP then prove that S_1,S_2-S_1,S_3-S_2 are in GP.

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If a,b,c be 7 th 11 th and 13 th terms respectively of a non constant A.P.If these are also the three consecutive terms of a G.P the sum of infinite terms of this G.P is Ka then K=?

If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in GP.

If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in GP.