Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.
Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.
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
Which of the following are examples of the null set
Set of odd natural numbers divisible by $2$
Which of the following are examples of the null set
Set of odd natural numbers divisible by $2$
Let $S=\{1,2,3, \ldots, 40)$ and let $A$ be a subset of $S$ such that no two elements in $A$ have their sum divisible by 5 . What is the maximum number of elements possible in $A$ ?
Let $S=\{1,2,3, \ldots, 40)$ and let $A$ be a subset of $S$ such that no two elements in $A$ have their sum divisible by 5 . What is the maximum number of elements possible in $A$ ?
- [KVPY 2012]
Which of the following pairs of sets are equal ? Justify your answer.
$A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} - 3x + 2 = 0\,\} .$
Which of the following pairs of sets are equal ? Justify your answer.
$A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} - 3x + 2 = 0\,\} .$
Which of the following are examples of the null set
Set of even prime numbers
Which of the following are examples of the null set
Set of even prime numbers
The number of proper subsets of the set $\{1, 2, 3\}$ is
The number of proper subsets of the set $\{1, 2, 3\}$ is