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The first four terms of a sequence are shown below:
8,5, 2, -1
Which of the following functions best defines this sequence?
Of(1) = 8, f(n + 1) = f(n) + 3; for n 2 1
Of(1) = 8, f(n + 1) = f(n) - 5; for n > 1
Of(1) = 8. f(n + 1) = f(n) + 5; for n 2 1
f(1) = 8. f(n + 1) = f(n) - 3. for n 2 1

Respuesta :

absor201

The correct answer is Option 4: f(1) = 8. f(n + 1) = f(n) - 3. for n > 1

Step-by-step explanation:

Given sequence is:

8,5, 2, -1

Here,

[tex]f(1)=8\\f(2)=5\\f(3)=2\\f(4)=-1[/tex]

We can clearly see that:

[tex]f(2) = f(1)-3=8-3 = 5\\f(3) = f(2)-3=5-3 = 2\\f(4) = f(3)-3 = 2-3 = -1[/tex]

We can say that the next term is obtained by subtracting 3 from the previous term

[tex]f(n+1) = f(n)-3[/tex]

So, the correct answer is Option 4: f(1) = 8. f(n + 1) = f(n) - 3. for n > 1

Keywords: Arithmetic sequence, Explicit formula

Learn more about arithmetic sequence at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

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