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  • 12-09-2020
  • Mathematics
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7. Identify the explicit formula for the sequence given by the recursive formula

7 Identify the explicit formula for the sequence given by the recursive formula class=

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tramserran
tramserran tramserran
  • 12-09-2020

Answer:  B) f(n) = 30 - 8(n - 1)

Step-by-step explanation:

Explicit formula is of the form: [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: f(1) = 30  --> this represents the first term [tex]a_1[/tex] = 30

          f(n - 1) - 8   --> this means the previous term minus 8 thus d = -8

[tex]a_n[/tex] = 30 + (-8)(n - 1)

    = 30 - 8(n - 1)

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