If `n` AP with first term is `1` and common difference `1,2,3........n` respectively then prove that sum of their `nth` terms is `1/2n(n^2+1)`

Given p no. of A.P. each of which consists of an n terms. If their first terms are 1,2,3.... p are in common differences are 1,3,5...2p-1 respectively, then the sum of the terms of all progressions is

There are m A.P. Whose common differences are 1,2,3,.. M respectively, the first term of each being unity. Show that the sum of their nth terms is (m)/(2)(mn -m+n+1) .

The first term and common difference of an A.P. are respectively 4 and 2. If the sum up to n terms is 88, find n.

The first term and common difference of an A.P. are respectively -2 and -4. If the sum upto n terms is —288, find n.

Given p A.P's , each of which consists on n terms . If their first terms are 1,2,3…… p and common differences are 1,3,5,……,2p-1 respectively , then sum of the terms of all the progressions is

Given p A.P's , each of which consists on n terms . If their first terms are 1,2,3…… p and common differences are 1,3,5,……,2p-1 respectively , then sum of the terms of all the progressions is

If an A.P., the sum of 1st n terms is 2n^2 + 3n , then the common difference will

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

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