Respuesta :

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.