Sum OF n terms || Assuming number OF terms in A.P. and illustration

Questions on Sum of n terms in A.P.

Sum Of n Terms Of An A.P.|Questions

A.P|| nth term||sum OF n term

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)

Prove that the sum of an odd number of terms in A.P is equal to the middle term mutiplied by the number of terms

The first term of A.P. is 5, the last is 45 and their sum is 400. If the number of terms is n and d is the common differences , then ((n)/(d)) is equal to :

Sum of n Terms of an A.P. | Examples

In an A.P. sum of three consecutive terms is 27 and their product is 504, find the terms. (Assume that three consecutive terms in A.P. are a -d, a, a+d)

The sum of 8 terms of an A.P. is -64 and sum of 17 terms is 289. Find the sum of its 'n' terms.

The first term of an A.P. is 3, the last term is 83 and the sum of all its terms is 903. Find the number of terms and the common difference of the A.P.