How can I put A={1,4,7,10,13,16,19,22,25,28} in set builder notation. I just learned this and can't figure it out.

2 answers

notice all the numbers are 3 apart

so the formula to generate the numbers would be
3n - 2, where n ∈ N0

so

A = { 3n-2 | n ∈ N0 , n ≤ 10 }
I just noticed that I wanted the n's to start at 1, not at 0
so change it to

{......| n ∈ N ......}