If $S_n=4+11+21+34+50+\ldots$. to $n$ terms, then $\frac{1}{60}\left(S_{29}-S_9\right)$ [JEE Main 2023, 10 Apr (Shift 2)]

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If \(S_n=4+11+21+34+50+\ldots\). to \(n\) terms, then \(\frac{1}{60}\left(S_{29}-S_9\right)\) [JEE Main 2023, 10 Apr (Sh…