I need a few examples of Arithmetic sequences in our daily lives. I also need the general formula of an arithmetic sequence. Can anybody help?

http://www.mathwords.com/a/arithmetic_sequence.htm

http://fym.la.asu.edu/~tturner/MAT_117_online/SequenceAndSeries/Arithmetic_Sequences.htm

what does commen diffrence mean

common difference= same difference.for example if someone tells you to find the difference of 3 and 2,

3-2=1. The difference=1.

Anyway, Thanks Ms.Sue!

Certainly! Arithmetic sequences can be found in various aspects of our daily lives. Here are a few examples:

1. Clocks: The movement of the second hand on a clock can be seen as an arithmetic sequence. It moves forward by 1 unit every second.

2. Financial Payments: If you are repaying a loan in fixed installments, the remaining debt forms an arithmetic sequence. The amount reduces by a fixed amount with each payment.

3. Sports: In sports, athletes often track their progress by setting goals for improvement. For instance, if a runner aims to increase their running distance by 1 mile every week, the total distance covered will form an arithmetic sequence.

Now let's talk about the general formula for an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which the difference (also called the common difference) between consecutive terms remains constant. The formula to find the nth term of an arithmetic sequence is:

nth term (an) = a1 + (n - 1)d

Here,
- nth term (an) represents the term you wish to find,
- a1 represents the first term in the sequence, and
- d represents the common difference between consecutive terms.

Using this formula, you can calculate any term in an arithmetic sequence by plugging in the values for the first term (a1), the term number (n), and the common difference (d).

I hope this helps! Let me know if you have any further questions.