If a , b, c, … are in G.P. then `2a,2b,2c,…` are in ….

If a,b, and c are in G.P then a+b,2b and b+ c are in

If a^2+b^2,a b+b c ,a n db^2+c^2 are in G.P., then a ,b ,c are in a. A.P. b. G.P. c. H.P. d. none of these

If a , b ,a n dc are in G.P., then a+b ,2b ,a n db+c are in a. A.P b. G.P. c. H.P. d. none of these

If a+c , a+b , b+c are in G.P and a,c,b are in H.P. where a , b , c gt 0 , then the value of (a+b)/(c ) is

Statement 1: The number of ways in which three distinct numbers can be selected from the set {3^1,3^2,3^3, ,3^(100),3^(101)} so that they form a G.P. is 2500. Statement 2: if a ,b ,c are in A.P., then 3^a ,3^b ,3^c are in G.P.

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.

If 2a , b , 2c are in A.P. where a , b , c are R^(+) , then the expression f(x)=(ax^(2)-bx+c) has

If a, b, c, d are in G.P., then (a + b + c + d)^(2) is equal to

If 1/a,1/b,1/c are in A.P and a,b -2c, are in G.P where a,b,c are non-zero then

If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in G.P., then prove that a^2, b^2,c^2 are in A.P.