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The phrase "a favourable sequence of" is correct and usable in written English.
It can be used when discussing a series of events, actions, or conditions that are beneficial or advantageous in a particular context.
Example: "The study revealed a favourable sequence of events that led to the successful outcome of the project."
Alternatives: "a beneficial series of" or "an advantageous order of".
Exact(2)
A favourable sequence of events then followed.
It would also now take a favourable sequence of results for them to secure a place in the Europa League.
Similar(58)
Our findings indicate that, although a favourable siRNA sequence is a necessary prerequisite for efficient RNAi, complex target structures may limit the applicability even of carefully chosen siRNAs.
Mark Wright of The Stage gave a favourable review of the episode.
A sequence-of-tenses problem.
For instance, 94% of black Democrats had a favourable view of Hillary Clinton, compared to an 88% favourable view of Obama.
This required a favourable balance of trade and protective tariffs.
Sixty-six percent of voters nationwide have a favourable opinion of the former president.
More than half of Americans have a favourable opinion of labour, according to a Pew survey.
Only a third of New Hampshire voters have a favourable impression of him.
Fully 70% of blacks now have a favourable impression of Mr Obama.
More suggestions(2)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com