In mathematics, a sum-free sequence is an increasing positive integer sequence
such that for each, cannot be represented as a sum of any subset of the preceding elements of the same sequence.
The definition of sum-free sequence is different of that of sum-free set, because in a sum-free set only the sums of two elements must be avoided, while a sum-free sequence must avoid sums of larger sets of elements as well.
Read more about Sum-free Sequence: Example, Sums of Reciprocals, Density
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