Write the set G = {1, 4, 9, 16, 25, ...., 100} in the set builder form.

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Solution

Every element in set $G$ is the square of a natural number.

$1 = 1^{2}$
$4 = 2^{2}$
$9 = 3^{2}$
$.$
$.$
$.$
$100 = 10^{2}$

so, the set-builder form is

$G =$ ${x : x = n^{2}, w h e r e n i s a n a t u r a l n u m b e r a n d 1 \leq n \leq 10}$

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