Question

The first four terms of a sequence are shown below:

8, 5, 2, −1

Which of the following functions best defines this sequence? (5 points)

Question 11 options:

1)

f(1) = 8, f(n + 1) = f(n) + 3; for n ≥ 1

2)

f(1) = 8, f(n + 1) = f(n) − 5; for n ≥ 1

3)

f(1) = 8, f(n + 1) = f(n) + 5; for n ≥ 1

4)

f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1

Answer 1

option 4

Explanation:

Answer 2

4

Explanation:

Function notation for implicit forms is written as:

• 
  `f_n` is the current term
• 
  `f_(n+1)` is the next term

The pattern states 8 subtract 3 = 5. 5 subtract 3 = 2. 2 subtract 3 = -1. we can define the sequence as

`current - 3 = next`

or using functions notation

`f_n-3=f_(n+1)` Option 4