If `a ,b ,c` are in A.P. and `a^2, b^2, c^2` are in H.P., then prove that either `a=b=cora ,b ,c=c/2` form a G.P.

If a ,b ,c are in A.P. and a^2, b^2, c^2 are in H.P., then prove that either a=b=cora ,b ,-c/2 form a G.P.

If a , b , c , are in A P ,a^2,b^2,c^2 are in HP, then prove that either a=b=c or a , b ,-c/2 from a GP (2003, 4M)

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

If a, b, c are in G.P. and also a, b, c are in A.P. Prove that: 1/a+1/c=2/b

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P. and a, x, b, y, c are in G.P., then prove that b^(2) is the arithmatic mean of x^(2)" and "y^(2).

If a,b,c are in A.P and a^2,b^2,c^2 are in H.P then which is of the following is /are possible ?

If a,b,c are in G.P. and a,x,b,y,c are in A.P., prove that : (a)/(x)+(c )/(y)=2 .