Write an explicit formula for an, the nth term of the sequence 29,20,11

= 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

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 29 and d = - 9, thus

= 29 - 9(n - 1) = 29 - 9n + 9 = 38 - 9n