7. Identify the explicit formula for the sequence given by the recursive formula
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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
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)