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- If a^2,b^2,c^2 are in AP, Prove that a/(b+c),b/(c+a),c/(a+b) are in AP.
- The sum of n, 2n,3n terms of an AP are S1, S2, aud S3, respectively. Prove that S3 = 3(S2 -S1).
- If Sn denotes the sum of the first n terms of an AP, prove that S30 = 3 (S20 - S10).
- The 4th term of an AP is zero. Prove that the 25th term of the AP is three times its 11th term.
- Sum of the first p, q and r terms of an A.P. are a, b and c, respectively. Prove that a/p(q - r) + b/q (r- p ) + c/r (p - q) = 0

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