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If `S_1,S_2 and S_3` are respectively the sums of n, 2n and 3n terms of an AP.Prove that `S_3=3(S_2-S_1)`

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
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  8. Suppose that a, b, c are in A.P. Prove that 2b = a + c

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