Suppose there is a function [tex]f(n)=3n^2, n\in\mathbb{N}[/tex].
We start counting by 1 from the first element in domain of natural numbers so: 1, 2, 3, 4.
We assemble the definition set [tex]A=\{1,2,3,4\}[/tex] than use the function f(n) to create transformation set:
[tex]f(A)=3\{1,2,3,4\}^2\Longrightarrow\{3,6,9,12\}^2 \\
\boxed{B=\{9,36,81,144\}}
[/tex]
So the first four terms are defined in transformation set B.
Hope this helps.
r3t40
