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Andrej [43]
3 years ago
5

Consider the sequence whose first five terms are shown below.

Mathematics
2 answers:
svp [43]3 years ago
7 0

Answer:

f (n) = -2n + 10

Step-by-step explanation:

I completed the sample work

Lisa [10]3 years ago
6 0

The required function is f(n)=-2n+10. So, the correct option is A.

Given:

  • The first five terms are 8, 6, 4, 2, 0.
  • The domain of the function is n=\{1,2,3,4,5\}.

To find:

The function that defines the given sequence.

Explanation:

The given sequence is an arithmetic sequence because the difference between the consecutive terms is constant.

First-term = 8

The common difference is:

6-8=-2

The function for nth term is:

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

Where a is the first term and d is a common difference.

Substitute a=,d=-2.

f(n)=8+(n-1)(-2)

f(n)=8-2n+2

f(n)=-2n+10

Therefore, the correct option is A.

Learn more:

brainly.com/question/22500605

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