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

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

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

The 4th and 7th terms of a G.P. are 18 and 486 respectively. Find the G.P.

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

If the 4^(th),7^(th) and 10^(th) terms of a G.P. are a, b and c respectively, prove that : b^(2)=ac

The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find 26th term.

The (m+n)th and (m-n)th terms of a G.P. are p and q respectively. Show that the mth and nth terms are sqrt(p q) and p(q/p)^(m//2n) respectively.

The 6th and 17th terms of an A.P. are 19 and 41 respectively, find the 40th term.

The 6th and 17th terms of an A.P. are 19 and 41 respectively, find the 40th term.

(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.