Question

Write down the members of set $A$, if it contains the square of the first five natural numbers.

Answer 1

Finding the members of set $A$:

Members of set $A$ are the squares of the first five natural numbers.

Natural numbers are $1,2,3,4,5,6,......$ and the first five are $1,2,3,4,5$

Now, squares of these numbers are :

$$\begin{gathered} \Rightarrow 1^2=1 \\ \Rightarrow 2^2=4 \\ \Rightarrow 3^2=9 \\ \Rightarrow 4^2=16 \\ \Rightarrow 5^2=25 \end{gathered}$$

$A=\left\{1,4,9,16,25\right\}$

Therefore, members of the set $A$ are $1,4,9,16$ and $25$.