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The sum of m terms and n terms of an A.P...

The sum of m terms and n terms of an A.P. ae equal. Prove that the sum of (m+n) terms will be zero. Given that `mnen.`

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`S_(m) = S_(n) rArr (m)/(2)[2a+ (m-1)d] = (n)/(2) [2a+(n-1)d]`
` rArr 2a(m-n)+ d(m^(2) - m-n^(2)+n)= 0`
`rArr(m -n) [2a+ (m + n -1)d] = 0 or s_(m+n) = 0`
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