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if S1 , S2 , S3..........,Sq are the sum...

if `S_1 , S_2 , S_3..........,S_q` are the sums of `n` terms of `q ,AP's` whose first terms are `1,2,3,...........q` and common difference are `1,3,5,...........,(2q-1)` respectively ,show that `S_1 + S_2 + S_3..........+S_q=1/2nq(nq+1)`

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