Answered

Consider a sequence whose first five terms are: -3,0,3, 24, 81.
Which function (with domain all whole numbers) could be used to define and continue the sequence?
A) f(n) = -3(1-n)'
B) f(n) = 3(1 - n)
C) f(n) = (1 - n)
D) f(n) = -3n

Consider a sequence whose first five terms are: -3,0,3, 24, 81. Which function (with domain all whole numbers) could be used to define and continue the sequence class=

Answer :

TheRealDeal1012
D is the correct answer

The domain of the function is {0, 1, 2, 3, 4} which satisfies the [tex]f(n) = -3(1-n)^3[/tex]. Then the correct option is A.

What are sequence and series?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after. A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

Given

A sequence whose first five terms are: -3,0,3, 24, 81.

Let the domain is {-1, 0, 1, 2, 3}

Then check the option for this domain.

The [tex]\rm f(n) = -3(1-n)^3[/tex] satisfy the condition.

For x = 0, the f(n) is -3.

For x = 1, the f(n) is 0.

For x = 2, the f(n) is 3.

For x = 3, the f(n) is 24.

For x = 4, the f(n) is 81.

Thus, the correct option is A.

More about the sequence and the series link is given below.

https://brainly.com/question/8195467

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