If `a , b, c` are in G.P., prove that the following are also in G.P.: `a^3, b^3, c^3`

Explanation

We know,


`a ,\ b\, c`
are in G.P.


Geometric mean relation


`b^2=ac``\ \ \ \ ...(1)`


To prove: `a^3, b^3, c^3` also in G.P.


To prove: `b^6=a^3c^3`


Cubing equation `(1)`


...