If a is A.M. of b and c and c,`G_(1)`,`G_(2)`,b are in G.P., then find the value of `G_(1)^(3)+G_(2)^(3)-2abc`

If a.b.c are in G.P. then

If a,A_(1),A_(2),b are in A.P., a,G_(1),G_(2),b are in G.P. and a, H_(1),H_(2),b are in H.P., then the value of G_(1)G_(2)(H_(1)+H_(2))-H_(1)H_(2)(A_(1)+A_(2)) is

If a is the A.M. of b and c and the two geometric means are G_(1) and G_(2) , then prove that G_(1)^(3)+G_(2)^(3)=2abc

If a is the A.M. of b and c and the two geometric means are G_(1) and G_(2) , then prove that G_(1)^(3)+G_(2)^(3) = 2abc

If a is the A.M.of b and c and the two geometric means are G_(1) and G_(2), then prove that G_(1)^(3)+G_(2)^(3)=2abc.

If a is the A.M.of b and c and the two geometric mean are G_(1) and G_(2), then prove that G_(1)^(3)+G_(2)^(3)=2ab

Between two positive real numbers a and b, one arithmetic mean A and three geometric means G_(1), G_(2), G_(3) are inserted. Find the value of ((a^(4) + b^(4)) + 4(G_(1)^(4) + G_(3)^(4)) + 6G_(2)^(4))/(A^(4))

If a be one A.M and G_(1) and G_(2) be then geometric means between b and c then G_(1)^(3)+G_(2)^(3)=

If a is the arithmetic mean of b and c, and two geometric means G_(1) and G_(2) are inserted between b and c such that G_(1)^(3)+G_(2)^(3)=lamda abc, then find the value of lamda .

If a is the A.M. of b and c and the two geometric mean are G_1 and G_2, then prove that G_1^3+G_2^3=2a b cdot