In a mixed series

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

In a mixed series, the terms in odd positions form an AP with first term pp and common difference qq, while the terms in even positions form a GP with first even term gg and common ratio rr. Derive a simplified expression for the sum S2nS_{2n} of the first 2n2n terms.

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