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4. The sum of the first n terms of an arithmetic series is n/2 (3n–5). If the second and fourth terms of the arithmetic series are the second and the third terms of a geometric series respectively, find the sum of the first eleven terms of this geometric series.

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4. The sum of the first n terms of an arithmetic series is n/2 (3n–5). If the second and fourth terms of the arithmetic series are the second and the third terms of a geometric series respectively, find the sum of the first eleven terms of this geometric series.​

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4. The sum of the first n terms of an arithmetic series is n/2 (3n–5). If the second and fourth terms of the arithmetic series are the second and the third terms of a geometric series respectively, find the sum of the first eleven terms of this geometric series.