SOLUTION: 30,31,34,39,46??? I don't get it what is the sequence?? Please help

Subtract 30 from every one of those and you'll see it:

0,1,4,9,16,...

You can recognize that as the squares of the whole numbers:

0²,1²,2²,3²,4²,...

Since that starts with 0², and it's the term number 1,
what we square is 1 less than the number of term.

So each term of the second sequence is (n-1)²

So the nth term is the given sequence is (n-1)² + 30

Answer: an = (n-1)² + 30.

Edwin