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- 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).
- The 8th term of an A.P. is zero. Prove that its 38th term is triple of its 18th term.

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