Question 59
Multiples of 3 and perfect squares. Each multiple of $3$ whose sum with the number $1$ is a perfect square is written in increasing order:
$$
3 ; \quad 15 ; \quad 24 ; 48 ; \quad \ldots
$$
Which is the multiple in the $2006^{\text{th}}$ position?
$$
3 ; \quad 15 ; \quad 24 ; 48 ; \quad \ldots
$$
Which is the multiple in the $2006^{\text{th}}$ position?