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

The first term of an A.P. whose 8th and 12th term are 39, 59 respectively.

The 104th term and 4th term of an A.P. are 125 and 0. Find the sum of first 35 terms.

Obtain the sum of 56 terms of an A.P. whose 19^(th) and 28^(th) terms are 52 and 148 respectively.

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

If the 4^(th) and 7^(th) terms of a GP are 16 and 128 respectively, then the 10^(th) terms is

If the nth term of an A.P. is t_(n) =3 -5n , then the sum of the first n terms is ………

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

If m times the m^(th) term of an A.P. is equal to n times its n^(th) term, then show that the (m + n)th term of the A.P. is zero.

If 6 times of 6th term of an A.P. is equal to 7 times term, then the 13th term of the A.P. is