Question

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

Answer 1

B. f(n) = 30 – 8(n – 1)

Explanation:

got it right on test

Answer 2

Answer: B) f(n) = 30 - 8(n - 1)

Explanation:

Explicit formula is of the form:
`a_n=a_1+d(n-1)` where

• 
  `a_1` is the first term
• d is the difference between consecutive terms

Given: f(1) = 30 --> this represents the first term
`a_1` = 30

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

`a_n` = 30 + (-8)(n - 1)

= 30 - 8(n - 1)