The list is
Observe the pattern, the difference between consecutive numbers is 4.
\Let n be the next term.
\Write an equation for the situation.
\Previous term 4 = Next term.
(Substitute previous term = 21 and next term = n)
(Subtract:
)
The extended pattern is
\The next term in the given list is 17.
\The next term in the given list is 17.