If there are two sequences, $t_k=ak+p$ and $t_l=bl+q$, how to find the equation for the sequence formed by intersection of them?
For eg, given two sequences $1,4,7,10,13,16,19,22,25... (3k+1)$ and $2,7,12,17,22,27... (5l+2)$, how to arrive at the common sequence $7,22,37... (15n+7?)$ ?
I think that first those two equations should be equated:
$3k+1=5l+2$
$3k=5l+1$
But from here, I don't know how to go forward.