Question

Select ALL of the following that are examples of an arithmetic sequence. (1 point)
Responses

You add $2 to a piggy bank and add triple the money you added the previous day for one month.
You add $2 to a piggy bank and add triple the money you added the previous day for one month.

3, 9, 27, 81, 243

3, 9, 27, 81, 243


1, 11, 21, 25, 31, 38

1, 11, 21, 25, 31, 38


20, 14, 8, 2, −4, −10

20, 14, 8, 2, −4, −10


You start at an elevation of 12,000 feet and climb down 1,000 feet per day.
You start at an elevation of 12,000 feet and climb down 1,000 feet per day.

Answer 1

Arithmetic sequences have a constant difference between consecutive terms.

Select:
- 20, 14, 8, 2, −4, −10 (common difference = −6)
- You start at an elevation of 12,000 feet and climb down 1,000 feet per day (terms: 12,000, 11,000, 10,000, …, common difference = −1,000)

Not arithmetic:
- The "$2 then triple each day" and 3, 9, 27, 81, 243 are geometric (multiply by 3).
- 1, 11, 21, 25, 31, 38 does not have a constant difference.