Question

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

Answer 1

30 + 3n

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