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If S(1), S(2), S(3), …, S(m) are the sum...

If `S_(1), S_(2), S_(3), …, S_(m)` are the sums of n terms of m A.P.'s whose first terms are 1, 2, 4, …, m and whose common differences are 1, 3, 5, …, (2m-1) repectively, then show that
`S_(1)+S_(2)+S_(3)+…+S_(n)=(1)/(2)mn(mn+1)`

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