Write the following set in the set-builder form: $\{ 1, 4, 9, \ldots, 100 \}$
(N/A) The given set is $A = \{ 1, 4, 9, \ldots, 100 \}$.
We observe that the elements are squares of natural numbers:
$1 = 1^2$
$4 = 2^2$
$9 = 3^2$
$\vdots$
$100 = 10^2$
Thus,the set can be written in set-builder form as:
$A = \{ x : x = n^2, n \in \mathbb{N} \text{ and } 1 \le n \le 10 \}$
We observe that the elements are squares of natural numbers:
$1 = 1^2$
$4 = 2^2$
$9 = 3^2$
$\vdots$
$100 = 10^2$
Thus,the set can be written in set-builder form as:
$A = \{ x : x = n^2, n \in \mathbb{N} \text{ and } 1 \le n \le 10 \}$
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