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Let the Sum of N, 2n, 3n Terms of an Arithmetic Progression. Be S1, S2 and S3, Respectively, Show that S3 = 3 (S2– S1)

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Question

Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3, respectively, show that S3 = 3 (S2– S1)

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Solution

Let a and b be the first term and the common difference of the A.P. respectively.

Therefore,

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