It the first and `(2n-1)^(th)` terms of an A.P.,a G.P. and an H.P. of positive terms are equal and their `(n+1)^(th)` terms are a, b, and c respectively then

If the first and (2n-1)^(th) terms of an A.P, a G.P and an H.P of positive terms are equal and their (n+1)^(th) terms are a, b & c respectively then

If first and (2n-1)^th terms of an AP, GP. and HP. are equal and their nth terms are a, b, c respectively, then (a) a=b=c (b)a+c=b (c) a>b>c (d) none of these

If n^(th) term of an A.P. is (2n - 1), find its 7^(th) term.

If an A.P., a G.P. and a H.P. have the same first term and same (2n+1) th term and their (n+1)^n terms are a,b,c respectively, then the radius of the circle. x^2+y^2+2bx+2ky+ac=0 is

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

If the 6th and 10th terms of a G.P. are 1/16 and 1/256 respectively. Find the G.P. if its terms are real numbers.

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.

If the first and the nth terms of a G.P., are a and b respectively, and if P is the product of the first n terms. prove that P^2=(a b)^n