Question

Write an explicit formula for a_na

Answer 1

Answer:

40 - 3n

Step-by-step explanation:

This is an arithmetic sequence.

First term = $a_{1}$ = 37

Common difference(d) = second term - first term = 34 - 37 = (-3)

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

               = 37 + (n -1)*(-3)

              = 37 + n*(-3) -1 *(-3)

             = 37 - 3n + 3

            = 37 + 3 - 3n

           = 40 - 3n