Question Practice |sum of n terms

Questions on Sum of n terms in A.P.

If in an A.P.the sum of m terms is equal to n and the sum of n terms is equal to m then prove that the sum of (m+n) terms is -(m+n)

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If in an A.P.the sum of m terms is equal of n and the sum of n terms is equal to m, then prove that the sum of -(m+n) terms is (m+n).

If the arithmetic progression whose common difference is nonzero the sum of first 3n terms is equal to the sum of next n terms.Then,find the ratio of the sum of the 2n terms to the sum of next 2n terms.

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