Question 1: Write the following sets in set builder notation:
\((ii)\) \(\quad\) \(\{2,4,8,16,32,64,\ldots,150\} \)
Solution:
The set \(\{1,4,9,16,25,36,\ldots, 484\} \) consists of power of 2.
We observe:
\(2^{1}=1 ,\)\(\ 2^{2} =4,\)\(\ 2^{3} =8,\)\(\ …\ ,\)\(\ 2^{7} =128\)
Set Builder Notation:
\(\{ x \mid x = 2^n,\ n \in \mathbb{N} \land 1 \leq x \leq 150 \}\)