Prove that the nth term from the end of the finite GP consisting of m terms is `ar^(m-n)`.

Find the nth term of an AP from the end

Prove that the nth term of the GP with first term a and common ratio r is given by a_(n)=ar^(n-1)

Prove that the sum of n terms of the reciprocals of the terms of the series a, ar, ar^(2),…" is "(1-r^(n))/(a(1-r)r^(n-1))

If in an A.P.the sum of m terms is equal of n and the sum of n terms is equal to m, then prove that the sum of -(m+n) terms is (m+n).

If in an A.P.the sum of m terms is equal to n and the sum of n terms is equal to m then prove that the sum of (m+n) terms is -(m+n)

The first and the last terms of an A.P.are a and l respectively.Show that the sum of nth term from the beginning and nth term from the end is a+l

If an A.P.consists of n terms with first term a and n^(th) term l then show that the sum of the m^(th) term from the beginning and the m^(th) term from the end is (a+l) .

If mth term of a HP is n and nth term is m, then (m+n) th term is