Let $ a_{n} $ be the $ n^{\text {th }} $ term of G.P. of positive terms. If $ \sum_{n=1}^{100} a_{2 n+1}=200 $ and $ \sum_{n=1}^{100} a_{2 n}=100 $, then $ \sum_{n=1}^{200} a_{n} $ is equal to: [JEE Main 2020, 9 Jan (Shift 2)]

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Let \( a_{n} \) be the \( n^{\text {th }} \) term of G.P. of positive terms. If \( \sum_{n=1}^{100} a_{2 n+1}=200 \) and…

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