s1167815897
s1167815897 s1167815897
  • 28-02-2021
  • Mathematics
contestada

Write an explicit formula for a_na
n
​
, the n^{\text{th}}n
th
term of the sequence 37, 34, 31,

Respuesta :

devishri1977
devishri1977 devishri1977
  • 28-02-2021

Answer:

40 - 3n

Step-by-step explanation:

This is an arithmetic sequence.

First term = [tex]a_{1}[/tex] = 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

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