Question

Write an explicit formula for An, the nth term of the sequence 33, 36, 39,​

Answer 1

Answer:

30 + 3n

Step-by-step explanation:

33 , 36 , 39 .......

This is an arithmetic series

First term = 33

Common difference (d) = Second term -  first term

                                        = 36 - 33 = 3

Nth term = a + (n -1)* d

              =  33 + ( n-1) * 3

              = 33 + n*3 - 1*3

              = 33 + 3n - 3

              = 33 - 3 + 3n

               = 30 + 3n