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Discover LudwigSuggestions(1)
The phrase "a fifth term" is correct and usable in written English.
It can be used when referring to the fifth item in a sequence or list, particularly in academic or mathematical contexts.
Example: "In the sequence of numbers, the fifth term is crucial for understanding the pattern."
Alternatives: "the fifth item" or "the fifth element".
Exact(55)
The move came just days after he had been re-elected for a fifth term.
He is widely expected to run for a fifth term in 2015.
On Friday, Sepp Blatter was reëlected for a fifth term as president.
But on Monday he'll announce his campaign for a fifth term.
As for the plot: Unopposed, Mr. Ferrell's glad-handing Brady appears headed for a fifth term.
The controversial Swiss won a fifth term after winning the first vote by 133 to 73.
Senator Christopher J. Dodd, a Democrat, won a fifth term, a first for a Connecticut senator.
A fifth term for Museveni, extending his 30-year rule, is seen as almost inevitable.
He is standing for a fifth term in office, but faces stronger opposition than ever before.
He is seeking re-election for a fifth term in February.
But Mr. Lautenberg's accomplishments do not entitle him to a free pass for a fifth term.
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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