Write the following sets in the set-builder form :

$\{ 1,4,9 \ldots 100\} $

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$\{1,4,9 \ldots 100\}$

It can be seen that $1=1^{2}, 4=2^{2}, 9=3^{2} \ldots 100=10^{2}$

$\therefore \{ 1,4,9 \ldots 100\}  = \{ x:x = {n^2},n \in N{\rm{ }}$ and $1\, \le \,n\, \le \,10\} $

Similar Questions

Write down all the subsets of the following sets

$\{ 1,2,3\} $

Let $A =\{1,2,3, \ldots \ldots, 10\}$ and $B=\left\{\frac{m}{n}: m, n \in A, m < n \text { and } \operatorname{gcd}(m, n)=1\right\} . $Then $n(B)$ is equal to :

  • [JEE MAIN 2025]

Which of the following are sets ? Justify your answer.

The collection of all even integers.

State which of the following sets are finite or infinite :

$\{ x:x \in N$ and ${x^2} = 4\} $

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

$\{ 3,4\}  \subset A$