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

Verified Answer :

Answer:

Option A is correct.

Step-by-step 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.

Answer:

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

Step-by-step explanation:

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