What is the rule for the pattern 1,5,17 missing number and 161?

How many solutions does the nonlinear system of equations graphed bellow have?

Can someone me immediately, this is due by midnight! if you can't see the question, i'll text it to you. show the steps you took to get your answer.

Azul has 4 green picks and no orange picks.you add orange picks so that there are 2 orange picks for every 1 green pick.how many picks are there now.