If the 4th,10th and 16th terms of a g.p.are x,y and z, respectively.prove that x,y,z are i. g.p.

If the 4th,10th and 16th terms of a g.p.are x,y and z, respectively.pr

1.	If the 4th,10th and 16th terms of a g.p.are x,y and z, respectively.prove that x,y,z are i. g.p.
Answer» Let G.P be a,ar,ar^2.....So 4 th term is ar^310 th term is ar^916 th term is ar^15Now L.H.S (ar^15)/(ar^9)=r^6R.H.S (ar^9)/(ar^3)=r^6So L.H.S=R.H.S