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"in the first task" is correct and usable in written English.
It can be used to refer to the first task out of multiple tasks. For example: "In the first task, we will review the instructions for the experiment."
Exact(53)
In the first task, the algorithm makes some interesting progress.
The president-elect was more successful in the first task.
In the first task, nontarget words are not retained in working memory.
In the first task, the aged rats showed some difficulty in acquiring allocentric spatial learning skills.
In the first task, the goal was to predict the future movements of the dog given a sequence of images.
Mr. Unger succeeds in the first task, detailing the business interests and personal friendships that evolved between the Bush family's inner circle and the Saudi elite.
Similar(7)
As in any war, the first task is to know your enemy.
When the cells arrive in the laboratory, the first task is to inspect the sample for haemolysis.
In fact, performing well with the first task in the current study had no effect on the performance in the second one.
Under Chatbot partner conditions there was a drop in task interest after the first task: a novelty effect.
The first author was present in the room during the first task, but not the second.
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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