`n^(th)` term of an AP from the end

Find the nth term of an AP from the end

Let a_1,a_2,a_3 ......, a_n are in A.P. such that a_n = 100 , a_40-a_39=3/5 then 15^(th) term of A.P. from end is

If the 10^(th) term of an AP is 0 , then find the ratio of the 27^(th) term and the 15^(th) term of the AP.

If m^(th) n^(th) and o^(th) term of an A.P. are n, o and m. Find common difference d.

If the n^(th) term of an AP be (2n-1) then the sum of its first n terms will be

The m^(th) term of an A.P. is n and n^(th) term is m its p^(th) term is

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) .

State 'T' for true and 'F' for false . I. A sequence is an A.P ., if and only if the sum of its n terms is of the form An^(2) +Bn , where A and B are constants . II. If 18, a, b , -3 are in A.P., then a+b = 15 . III If a,c,b are in A.P., then 2c=a+b . IV .The n^(th) term from the end of an A.P. is the (m-n+1)^(th) term from the beginning , where m terms are in A.P.

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)

If the A.M. between p^(th) and q^(th) terms of an A.P. , be equal to the A.M., between m^(th) and n^(th) terms of the A.P. , then show that p + q = m + n .