Question 1: Write the following sets in set builder notation:
\((vi)\) \(\quad\) \(\{1,3,9,27,81,\ldots\} \)
Solution:
The pattern we observe in the set \(\{1,3,9,27,81,\ldots\} \)
\(3^0 =1,\)\(\ 3^1 =3,\)\( 3^2 =9,\)\( 3^3 =27,\)\( 3^4 =81,\)\(\ …\ ,\)
Set Builder Notation:
\(\{ x \mid x=3^n, n \in W \}\)