If a series of numbers be in G.P., show that their logarithms are in A.P

If the square of differences of three numbers be in A.P., then their differences re in (A) A.P. (B) G.P. (C) H.P. (D) none of these

The first three of four given numbers are in G.P. and their last three are in A.P. with common difference 6. If first and fourth numbers are equal, then the first number is a. 2 b. 4 c. 6 d. 8

Let 3 non-zero distinct real numbers be in A.P. and their squares in G.P. Then number of possible values of common ratios of G.P. is (1) 2 (2) 3 (3) 5 (4) 6

If p ,q ,r are in A.P., show that the pth, qth and rth terms of any G.P. are in G.P.

If a,b,c are unequal numbers in A.P. such that a,b-c,c-a are in G.P. then

If the pth, qth, rth, and sth terms of an A.P. are in G.P., then p-q ,q-r ,r-s are in a. A.P. b. G.P. c. H.P. d. none of these

If the pth, qth, rth, and sth terms of an A.P. are in G.P., t hen p-q ,q-r ,r-s are in a. A.P. b. G.P. c. H.P. d. none of these

If p ,q ,a n dr are in A.P., then which of the following is/are true? pth, qth, and rth terms of A.P. are in A.P. pth, qth, rth terms of G.P. are in G.P. pth, qth, rth terms of H.P., are in H.P. none of these

The sum of three numbers in G.P. is 14. If the first two terms are each increased by 1 and the third term decreased by 1, the resulting numbers are in A.P. Find the largest of those numbers − smallest of those numbers ?

If a ,b ,c are in G.P., then prove that loga^n ,logb^n ,logc^n are in A.P.