What is arithmetic sequence?

https://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html

Thanks Ms. Sue! I appreciate it:)

I also have another question...

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OK.

I was wondering what sequence graph would be best to figure out a budget for companies?

https://www.google.com/search?source=hp&ei=SDneWuuwC_C1tgWEy67YDw&q=sequence+graph+budget&oq=sequence+graph+budget&gs_l=psy-ab.3..33i160k1.4446.8825.0.9329.9.8.0.0.0.0.106.800.4j4.8.0....0...1c.1.64.psy-ab..1.8.800.0..0j0i20i263k1j0i22i30k1j33i21k1.0.RWHT9ZJR7uU

Thanks.

You're welcome.

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is always the same. This difference is called the common difference denoted by 'd'. In other words, if we take any term in the sequence and subtract the previous term from it, we will always get the common difference.

To identify an arithmetic sequence, you need to check if the difference between any two adjacent terms is constant. Here's how you can do it:

1. Take a look at the given sequence of numbers.
2. Subtract the second term from the first term, and note the result.
3. Continue this process for each pair of adjacent terms in the sequence, calculating the difference each time.
4. If all the differences are the same, you have an arithmetic sequence.
5. If the differences are not the same, then the sequence is not an arithmetic sequence.

For example, let's consider the sequence: 2, 5, 8, 11, 14. To check if this is an arithmetic sequence:

Difference between the second and first term: 5 - 2 = 3.
Difference between the third and second term: 8 - 5 = 3.
Difference between the fourth and third term: 11 - 8 = 3.
Difference between the fifth and fourth term: 14 - 11 = 3.

Since the differences between all pairs of adjacent terms are the same (in this case, 3), we can conclude that this is an arithmetic sequence.