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The sum of first r terms of three arithmetic progressions are S1 S2 and S3 respectively. The first term of each AP is 1

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The sum of first r terms of three arithmetic progressions are S1 S2 and S3 respectively. The first term of each AP is 1 and common differences are 1, 2 and 3 respectively. Prove that

S1 + S3 = 2S2

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Hence Proved

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