Sum of nTH term of AP

The sum of n terms of AP is 3n^(2)+5n. and its nth term is 164. find the value of n.

In an A.P.the sum of m terms of an AP is n and sum of n terms of AP is m,then prove that sum of (m+n) terms of AP is -(m+n)

Theorem: The sum of nth terms of an AP with first term a and common difference d is S_(n)=(n)/(2)(2a+(n-1)d)

Find the sum of 'n' terms of an A.P. whose nth term is 2n+1.

Find the sum of n terms of an A.P. whose nth term is (2n+1).

If the ratio of sum of m terms of an AP to the sum of n terms of the same AP is (m^(2))/(n^(2)) .Then prove that the ratio of its mth and nth terms is 2m-1:2n-1.

If T_(n) and t_(n) be the nth term of two AP's respectively and the ratio of sum of n terms of these AP's is (2n-3)/(4n+1) AA n epsilonN then identify the correct option

For an AP, it is given that first term (a)= 5 and Common Difference (d) = 3 and nth term = 50. Find n and sum of first n terms of AP

If the sum to n terms of a sequences is 2n^(2)+4, find its nth.Is this seqwuence as AP?

If the sum of n tems of a series be 5n^(2)+3n find its nth term.Are the terms of this series in A.P.?