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IF THE SUM OF 1ST m TERMS OF AN AP IS SAME AS THE SUM OF ITS FIRST n TERMS. SHOW THAT THE SUM OF ITS FIRST m+n TERMS IS ZERO
Let the first term and the common difference of the given A.P. be a and d respectively.
Given : sum of m terms = sum of n terms



As m and n are two different terms


? The sum of (m + n)th term of the given A.P. is zero.
 


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