Question

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

1, 11, 21, 25, 31, 38

1, 11, 21, 25, 31, 38


20, 14, 8, 2, −4, −10

20, 14, 8, 2, −4, −10


3, 9, 27, 81, 243

3, 9, 27, 81, 243


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.

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.
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Answer 1

Arithmetic sequences have a constant difference between consecutive terms. The arithmetic examples are:

- 20, 14, 8, 2, −4, −10 (common difference −6)
- The elevation example: 12,000, 11,000, 10,000, ... (decreasing by 1,000 each day, common difference −1,000)

The others are not arithmetic (1,11,21,25,... has varying differences; 3,9,27,... is geometric; the piggy‑bank rule triples each day, so it's geometric).