Take any Arithmetic Progression.

If a, b, c are in geometric progression, and if a^(1/x)=b^(1/y)=c^(1/z) , then prove that x, y, z are in arithmetic progression.

If a,b,c are in geometric progression and if a^((1)/(x))=b^((1)/(y))=c^((1)/(z)) , then prove that x,y,z are in arithmetic progression.

The angles of a triangle ABC, are in Arithmetic progression and if b : c = sqrt(3) : sqrt(2), "find "angleA

The interior angles of a polygon are in arithmetic progression. The smallest angle is 120^@ and the common difference is 5^@ Find the number of sides of the polygon

The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side?

If the roots of (a-b)x^(2)+(b-c)x+(c-a)=0 are real and equal, then prove that b, a, c are in arithmetic progression.

It is known that the roots of the equation x^3-6x^2-4x+24=0 are in arithmetic progression. Find its roots.

The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.