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

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Solution

Given: Set $A = {1, 4, 9, 16, 25, . . .}$
So, write set $A$ in set builder form
$A =$ { $x : x$ is the square of a natural number}
Alternatively, we can write
$A = {x : x = n^{2}, where n ε N}$

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