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{title2=$\operatorname{FS}(x_i)$}

For a sequence $(x_i)$, its finite-sums set is
$$
\operatorname{FS}(x_i)=\left\{\sum_{i\in F}x_i: \varnothing\ne F\subseteq\mathbb N\text{ finite}\right\}.
$$


Finite-sums set

Milliken–Taylor theorem

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 130 / 3 / c / ii / Solution

Finite-sums set ( $FS (x_{i})$ )

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Finite-sums set (FS(xi​))

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Finite-sums set ( $FS (x_{i})$ )

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