The middle term of an arithmetic progression having (2n+1) terms is m, show that the sum of its (2n+1) terms is (2n+1)m.

The nth term of an A.P. is p, show that, the sum of its first (2n-1) terms is (2n-1)p.

The sum of first three terms of an arithmetic progression with n terms is x and the sum of last three terms is y.Show that the sum of n terms is n/6(x+y)

The nth term of an arithmetic progression is 3n-1. Find the progression.

If in an arithmetic progression, the sum of n terms is equal to the sum of r terms then the sum of (n+r) terms is

If the sum of first n terms of G.P. is S and the sum of its first 2n terms is 5S, then show that the sum of its first 3n terms is 21S.

If the sum of first n terms of a G.P is p and the sum of the first 2n terms is 3p,show that the sum of first 3n terms is7p.

If the nth term of a G.P. be p, then show that the product of its first (2n-1) terms is p^(2n-1) .

If the sum of the first n terms of a G.P. = p and the sum of the first 2n terms = 3p, show that the sum of first 3n terms = 7p.

If the sum of m terms of an A.P. is the same as the sum of its n terms, then the sum of its (m+n) terms is (a). m n (b). -m n (c). 1//m n (d). 0

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369 . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.