Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.

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We may write the set $\mathrm{A}$ as

$A = \{ x:x$ is the square of a natural number $\} $

Alternatively, we can write

$A = \{ x:x = {n^2},{\rm{ }}$ where $n \in N{\rm{\} }}$

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