Question 1: Write the following sets in set builder notation:
\((i)\) \(\quad\) \(\{1,4,9,16,25,36,\ldots, 484\} \)
Solution:
The set \(\{1,4,9,16,25,36,\ldots, 484\} \) consists of perfect squares.
We observe:
\(1^{2}=1 ,\)\(\ 2^{2} =4,\(\ 3^{2} =9,\)\(\ …\ ,\)\(\ 22^{2} =484\)
Set Builder Notation:
\(\{x|x=n^{2} ,n\in N\land 1\leq x\leq 500\}\)