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wariber [46]
2 years ago
11

The first four terms of a sequence are shown below: 9, 5, 1, â’3 Which of the following functions best defines this sequence? f(

1) = 9, f(n 1) = f(n) ⒠4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) ⒠5; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 5; for n ≥ 1.
Mathematics
2 answers:
matrenka [14]2 years ago
5 0

The function that best defines this arithmetic sequence is:

  • f(n) = f(n - 1) - 4, f(1) = 9

<h3>What is an arithmetic sequence?</h3>
  • In an <em>arithmetic sequence,</em> the <u>difference between consecutive terms is always the same</u>, called common difference d.

The recursive function that defines the sequence is:

f(n) = f(n - 1) + d

f(1) = f_0

  • In which f_0 is the first term.

In this problem, the sequence is: {9, 5, 1, -3}

  • Each term is the previous term subtracted by 4, hence d = -4.
  • The first term is 9, hence f_0 = 9.

Hence, the function is:

  • f(n) = f(n - 1) - 4, f(1) = 9

You can learn more about arithmetic sequences at brainly.com/question/6561461

dem82 [27]2 years ago
5 0

To identify the functions which best define the given sequence, we have to identify the number pattern.

The correct option is (a).

Given:

The given sequence is as follows,

9,5,1,-3

<h3>What is an arithmetic sequence?</h3>

The arithmetic sequence define as the difference between two consecutive number would be same.

If we subtract 4 form each digit we will get next digit.

9-4=5\\5-4=1\\1-4=-3

So the function would be,

f(1) = 9, f(n + 1) = f(n) -4; \rm for \:n\geq 1

The option (b) and (d) show the increasing function whereas we have decreasing sequence.

Thus, the correct option is (a).

Learn more about arithmetic sequence here

:brainly.com/question/12637273

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