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The sum of first n terms of three arithmetic progressions are S1, S2 and S3. Prove that S1+S3=2S2.
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The sum of first n terms of three arithmetic progressions are S_1, S_2 and S_3 respectively. The first term of each A.P. is 1 and common differences are 1, 2 and 3 respectively. Prove that S_1+S_3=2S_2.
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