Let `S_1, S_2 and S_3` be the sum of n terms of 3 arithmetic series, the first termof each being...

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Let S_1, S_2 and S_3 be the sum of n terms of 3 arithmetic series, the first termof each being 1... Let S_1, S_2 and S_3 be the sum of n terms of 3 arithmetic series, the first termof each being 1...
The sum of first n terms of three arithmetic progressions are S1, S2 and S3. Prove that S1+S3=2S2. 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 sums of first n terms of three A.P.s are S1, S2 and S3. The first term of each is 5...|| RD Q.|| The sums of first n terms of three A.P.s are S1, S2 and S3. The first term of each is 5...|| RD Q.||
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Let the sum of n,2n,3n terms of an A.P. be S1,S2 and S3 respectively. Show that S3=3(s2-s1) Let the sum of n,2n,3n terms of an A.P. be S1,S2 and S3 respectively. Show that S3=3(s2-s1)