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 $n \in N{\rm{\} }}$

Similar Questions

Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?

$\{ 3,4\}  \subset A$

Which of the following pairs of sets are equal ? Justify your answer.

$\mathrm{X} ,$ the set of letters in $“\mathrm{ALLOY}"$ and $\mathrm{B} ,$ the set of letters in $“\mathrm{LOYAL}”.$

Which of the following sets are finite or infinite.

The set of positive integers greater than $100$

If $Q = \left\{ {x:x = {1 \over y},\,{\rm{where \,\,}}y \in N} \right\}$, then

Write the following sets in roster form :

$\mathrm{E} =$ The set of all letters in the world $\mathrm{TRIGONOMETRY}$