Question

Write each given set in the Set Builder Form.

$\left\{1,4,9,16,25,36,........\right\}$

Answer 1

In set builder form set is described by stating a condition or property which an object or element must satisfy if it belongs to that set.

Given Roster form of Set is $\left\{1,4,9,16,25,36,........\right\}$

As it can be clearly seen the element in the set is perfect square of the natural numbers.

$1^2=1,2^2=4,3^2=9,....$

Therefore, $\left\{1,4,9,16,25,36,........\right\}$ can be written as $\left\{x:xisaperfectsquarenumber\right\}$

Hence, Set Builder Form of $\left\{1,4,9,16,25,36,........\right\}$ is $\left\{x:xisaperfectsquarenumber\right\}$