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The sums of n terms of three arithmetica...

The sums of `n` terms of three arithmetical progressions are `S_1, S_2a n dS_3dot` The first term of each unityand the common differences are `1,2a n d3` respectively. Prove that `S_1+S_3=2S_2dot`

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The sums of n terms of three arithmetical progressions are S_1, S_2 and S_3dot The first term of each unityand the common differences are 1,2 and 3 respectively. Prove that S_1+S_3=2S_2dot

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