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8. John is in a club that collects annual dues. In the first year that he was a member, he paid $20 in club dues. However, the club dues increase by $2 each year. Identify the function that describes the relationship between the number of years that John has been a member of the club and the dues he pays that year.

options:
A. f(n) = 20 + 2(n – 2)
B. f(n) = 20 + 2(n + 1)
C. f(n) = 20 + 2(n – 1)
D. f(n) = 20 + 2n

Respuesta :

tramserran

Answer:  C) f(n) = 20 + 2(n - 1)

Step-by-step explanation:

The explicit formula is: [tex]a_n=a_1+d(n-1)[/tex]     where

  • [tex]a_1[/tex] is the first term
  • d is the difference between consecutive terms

Given: In the first year he paid $20  --> [tex]a_1[/tex] = 20

          Dues increase $2 each year --> d = 2

[tex]a_n[/tex] = 20 + 2(n - 1)