If three unequal positive numbers a, b, c are in G.P. then show that, `a +c gt 2b`.

If three equal positive numbes a,b,c are in G.P,then show that a+c>2b

If three positive unequal numbers a, b, c are in H.P., then

If three positive unequal numbers a,b,c are in H.P.,then

If a, b, c are in G.P. then show that b^(2 ) = a.c.

If three unequal positive real numbers a,b,c are in G.P.and b-c,c-a,a-b are in H.P.then the value of a+b+c depends on

STATEMENT-1 : If a^(x) = b^(y) = c^(z) , where x,y,z are unequal positive numbers and a, b,c are in G.P. , then x^(3) + z^(3) gt 2y^(3) and STATEMENT-2 : If a, b,c are in H,P, a^(3) + c^(3) ge 2b^(3) , where a, b, c are positive real numbers .

If three positive real number a,b and c are in G.P show that log a , log b and log c are in A.P

Three unequal positive numbers a, b, c are such that a, b, c are in G.P. while log ((5c)/(2a)), log((7b)/(5c)), log((2a)/(7b)) are in A.P. Then a, b, c are the lengths of the sides of

If x^a=y^b=c^c , where a,b,c are unequal positive numbers and x,y,z are in GP, then a^3+c^3 is :