elect ALL of the following which are examples of an arithmetic sequence.
Responses
−2, −4, −8, −16, −32
−2, −4, −8, −16, −32
You add $1 to a piggy bank and add double the money you added the previous day for one month.
You add $1 to a piggy bank and add double the money you added the previous day for one month.
6, 11, 15, 21, 26, 30
6, 11, 15, 21, 26, 30
You start at an elevation of 15,000 feet and climb down 2,000 feet per day.
You start at an elevation of 15,000 feet and climb down 2,000 feet per day.
12, 9, 6, 3, 0, −3
12, 9, 6, 3, 0, −3
12, 9, 6, 3, 0, −3
The example of an arithmetic sequence is:
−2, −4, −8, −16, −32.
To identify an arithmetic sequence, we look for a consistent difference between consecutive terms. In this sequence, each term is obtained by multiplying the previous term by -2. The common difference between every pair of consecutive terms is -2.
The other examples provided do not demonstrate an arithmetic sequence because they do not have a constant difference between consecutive terms.