if the sum of p terms of an ap is q and the sum of q terms is p. show that sum of p+q terms is -(p+q)
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Now, Sp+q=2p+q×[2a+(p+q−1)d]=2p+q×[2a+(p−1)d+qd]=2p+q×[p2q+q(qp−2(q+p))]=2p+q×(p2q−2q−2p)=−(p+q)
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