AP GP & HP

AP ||GP

If a,b,c are in AP or GP or HP,then (a-b)/(b-c) is equal to

If three positive numbers a,b and c are in AP, GP and HP as well, than find their values.

If a, b, c are in AP or GP ot HP where a>0, b>0, c>0 then prove that b^2> or = or < ac .

If ax^3 + bx^2 + cx + d is divisible by ax^2 + c, then a, b, c, d are in (a) AP (b) GP (c) HP

If x y z are in GP(x y z>1) then (1)/(2x+log x) , (1)/(4x+log y) , (1)/(6x+log z) are in 1) AP 2) GP 3) HP 4) AGP

If a , b , c are in GP, then the equations a x^2+2b x+c=0 and dx^2+2e x+f=0 have a common root, if, d/a , e/b ,f/c are (1985, 2M) AP (b) GP (c) HP (D) None of these

Find the conditions if roots of the equation x^(3)-px^(2)+qx-r=0 are in (i) AP (ii)GP (iii) HP

The roots of the equation x^(3)-14x^(2)+56x-64=0 are in .........progression A.P. G.P. H.P.