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Important Questions on Sum of n Terms of an A.P

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Questions on Sum of n terms in A.P.

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If for every n in N , sum to n terms of an A.P. is 5n^(2)+7n then is 10th term is

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)

Given sum of the first n terms of an A.P. is 2n+3n^(2) Another A.P .is formed with the same first.term and double of the common difference,the sum of n terms of the new A.P. is -

Theory OF Sum OF First n Terms OF A.P