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– Anon

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- If the pth term of an A.P. is q and the qth term is p, prove that its nth term is (p + q - n).
- If the pth term of an A.P is 1/q and qth term is 1/p. Prove that the sum of first pq term of the A.P. is [(pq + 1)/2]
- Prove that the nth term of an A.P. can not be n^2 + 1. Justify your answer.
- If Sn denotes the sum of first n terms of an A.P. prove that, S30 = 3(S20 - S10)
- If Sn, denotes, the sum of the first n terms of an A.P. prove that S12 = 3(S8 - S4).

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