Question

Consider the sequence whose first five terms are shown below.

Answer 1

Answer:

f (n) = -2n + 10

Step-by-step explanation:

I completed the sample work

Answer 2

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 $n$th 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.

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