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Consider the arithmetic sequence: 6,2,-2,-6,...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n) = 10 – 4n for n > 0
b(n) = 10 – 4n for n > 1
c(n) = 18 - 4n for n > 2
d(n) = 14 - 4n for n > 3​

Respuesta :

Answer: b(n)=10-4n for n >1

The function a(n) = 10 – 4n for n > 0 generates the given arithmetic sequence.

What is an arithmetic sequence?

"It is a number sequence with a common difference between successive terms."

For given example,

Given arithmetic sequence: 6, 2, -2, -6, . . .

Here, 2 - 6 = -4

-2 - 2 = -4

-6 - (-2) = -4

This means, the common difference is d = -4

If n is a positive integer, then the function a(n) = 10 - 4n (n > 0) generates given sequence.

For n = 1

⇒ a(1) = 10 - 4(1)

⇒ a(1) = 6

For n = 2,

⇒ a(2) = 10 - 4(2)

⇒ a(2) = 2

For n = 3,

⇒ a(3) = 10 - 4(3)

⇒ a(3) = -2

For n = 4,

⇒ a(4) = 10 - 4(4)

⇒ a(3) = -6

Therefore, the function a(n) = 10 – 4n for n > 0 generates the given arithmetic sequence.

Learn more about an arithmetic sequence here:

https://brainly.com/question/10396151

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