Given the following ordered pairs below
[tex](1,4),(5,6),(9,8),(13,10),(p,q)[/tex]
Where p and q are the next pair we want to find.
By observation, we can deduce that the x values sequence is;
[tex]\begin{gathered} 1,5,9,13 \\ \text{The common difference is +4} \\ \text{thus, } \\ p=13+4=17 \end{gathered}[/tex]
We can also deduce the y-values sequence to be:
[tex]\begin{gathered} 4,6,8,10 \\ \text{The common difference is +2} \\ \text{Thus,} \\ q=10+2=12 \end{gathered}[/tex]
Hence, the next ordered pair is (17,12)
