If b be the pth term of a G.P. whose `(p+q)th, (p-q)th` terms are a and c respectively and `f(x)=x^2-2bx+c` then for all `xepsilonR`

The (p+q)th term and (p-q)th terms of a G.P. are a and b respectively. Find the pth term.

Find 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.

If the (p+q)^(th) term of a G.P. is a and (p-q)^(th) term is b , determine its p^(th) term.

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

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

Find the G.P. whose 2nd and 5th terms are -(3)/(2)" and "(81)/(16) respectively.

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, then x,y,z are in

If (2p)th term of a G.P is q^2 and (2q)th term is p^2 then (p+q)th term is