On = 38 - 9n Step-by-step explanation: Note the common difference d between consecutive terms d= 20 - 29 = 11 - 20 = - 9 This indicates the sequence is arithmetic with n th term On = apt (n - 1)d where a, is the first term and d the common difference Here a, = 29 and d=- 9, thus An = 29 - 9 (n - 1) = 29 - 9n + 9 = 38 - 9n
