N th term of A.P|Concept & P.Y.Q

Let a_(n) denote the n -th term of an A.P.and p and q be two positive integers with p

The 1 st,4 th and 13 th terms of AP are in G.P. The first term is 3. Find the A.P.

If the m^(th),n^(th)andp^(th) terms of an A.P. and G.P. be equal and be respectively x,y,z, then

If m times the mth term of an A.P. with non-zero common difference equals n times the nth term of the A.P., where m ne n , then (m+n)th term of this A.P. is

First the term of an A.P is p and its common difference is q.Find its 10 th term

The pth and qth terms of an A.P. are x and y respectively. Prove that the sum of (p + q) terms is. (p+q)/(2)[x+y+(x-y)/(p-q)].

If the p^(th) term of an A.P is q and q^(th) term is p, prove that its n^(th) term is (p+q-n)