Question

The first four terms of a sequence are shown below:

9, 5, 1, −3

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


A f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1
B f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1
C f(1) = 9, f(n + 1) = f(n) − 5; for n ≥ 1
D f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1

Answer 1

A f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1

Explanation:

i took the test and got it right

Answer 2

Option A is correct.

Explanation:

We have been given the sequence:

9,5,1,-3

We can clearly see that the next digit is four less than the previous digit.

Here first term that is a=9

So, the function would be:

`f(1)=9; f(n+1)=f(n)-4\text{for}n\geq1`

Therefore. option A is correct.

Option B and D are not correct because function is decreasing not increasing.

Option C is not correct because decreasing by 4 not 5.