Question

Raymundo is writing an explicit function for the arithmetic sequence:
20, 15, 10,5,...
He comes up with s(n) = 20 - 5n.
What domain should Raymundo use for s so it generates the sequence?
Choose 1 answer:
n> 0 where n is an integer
n> 0 where n is any number
n> 1 where n is an integer
n> 1 where n is any number

Answer 1

Answer:

A) n > 0 where n is an integer

Step-by-step explanation:

Answer 2

n> 0 where n is an integer is correct.

What is arithmetic sequence?

The Sequence in which common difference is same between consecutive terms through out the series.

Example: 2, 4, 6, 8, 10

Here each term increases with same constant 2 Hence its an Arithmetic sequence.

How to solve?

s(n) = 20 - 5n

Putting integer values for n:

s(0) = 20

s(1) = 20 - 5(1) = 15

s(2) = 20 - 5(2) = 10

And so on....

But for s(n) if n is any number let say 1.9 than it won't satisfy condition of equal differences. Hence, n must be an integer.

and since our sequence starts form 20, n is any integer greater than zero.

To Learn more about arithmetic sequence visit:

https://brainly.com/question/6561461

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