If 5th, 8th, and 11th terms of a G.P. are `p ,\ q\ a n d\ s` respectively, prove that `q^2=p sdot`

If 5^(th),8^(th) and 11^(th) terms of a G.P.are p,q and s respectively then

The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Show that q^(2)=ps.

The 3rd, 7th and 11th terms of a G.P. are x, y and z respectively, then prove that y^(2)= xz.

If the 4 th,10 th and 16 th terms of a G.P.are and respectively.Prove that are in G.P.

If the 4th, 10th and 16 th terms of a G.P. are x, y and z, respectively. Prove that x,y,z are G.P.

The 5th, 8th and 11th terms of a GP are a, b, c respectively. Show that b^(2)=ac .

If the pth and qth terms of a GP are q and p respectively,then (p-q) th terms is :

(a) The 3rd and 19th terms of an A.P. are 13 and 77 respectively. Find the A.P. (b) The 5th and 8th terms of an A.P. are 56 and 95 respectively. Find the 25th term of this A.P. (c) The pth and qth terms of an A.P. are q and p respectively. Prove that its (p + q)th term will be zero.

If the p^(th) and q^(th) terms of a G.P.are q and p respectively,show that (p+q)^(th) term is ((q^(p))/(p^(q)))^((p-q)/(p-q))