If a, b, c are in A.P., b, c, d are in G.P. and `1/c,1/d,1/e` are in A.P. prove that a,c,e are in GP.

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is

If a, 8, b are in A.P. , a, 4, b are in G.P. and a , x, b are in H.P. then x=………….

If a ,1/b ,a n d1/p ,q ,1/r from two arithmetic progressions of the common difference, then a ,q ,c are in A.P. if p ,b ,r are in A.P. b. 1/p ,1/b ,1/r are in A.P. c. p ,b ,r are in G.P. d. none of these

Given a ,b ,c are in A.P. b ,c , d are in G.P. and c ,d ,e are in H.P. If a=2and e=18 , then the sum of all possible value of c is ________.

If l n(a+c),l n(a-c)a n dl n(a-2b+c) are in A.P., then (a) a ,b ,c are in A.P. (b) a^2,b^2, c^2, are in A.P. (c) a ,b ,c are in G.P. d. (d) a ,b ,c are in H.P.

For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c) Then: (1) b, c and a are in G.P. (2) b, c and a are in A.P. (3) a, b and c are in A.P (4) a, b and c are in G.P

For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c) Then: (1) b, c and a are in G.P. (2) b, c and a are in A.P. (3) a, b and c are in A.P (4) a, b and c are in G.P

If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove that x ,a n d4,z are in H.P.

If a,b, and c are in A.P and b-a,c-b and a are in G.P then a:b:c is

If a,8,b are in A.P and a,4,b are in G.P and a,x ,b are in H.P then x = ………….