Type the missing number in this sequence:4, 1, 6, 10, 16, 24,34,46

Find the difference between each term as follows:
[tex]\begin{gathered} 10-6=4 \\ 16-10=6 \\ 24-16=8 \\ 34-24=10 \\ 46-34=12 \end{gathered}[/tex]Notice that the differences increases by 2. Thus, to obtain the missing term, subtract 2 from 6.
[tex]6-2=4[/tex]To check, the difference between the first and second term must be 0, since the difference between the second and third term is 2.
[tex]4-4=0[/tex]Therefore, the missing term must be 4.