7, 16, 8, 27, 9:
(a) 7, 42, 8, 33, 9, 24 series: 7, 16, 8, 27, 9, 16 continuing 10, 1, 11
(b) 7, 24, 8, 33, 9, 42 series: 7, 16, 8, 27, 9, 16 continuing 10, 5, 11
(c) 7, 16, 8, 27, 9 differences 9, -8, 19, -18. Next differences 29, -28? series continues 38, 10
Whichever pattern in (a) or (b) is applied, 16 is the next term.