Arithmetic Sequence Notes Summary
Sequence- A function whose domain that is equal to the set of positive integers.
Domain for all sequences is all the positive integers
Range is the sequence itself
An arithmetic sequence is adding/subtracting a constant value known as a common/constant
difference. (It is the space between each values)
An Arithmetic Sequence is
-An is the missing term
-A1 is the first term
-N is the position of the number you want to find
-d is the common difference, which is also the slope! (wow!)
It is a linear function! However, you cannot draw a line through the points when graphing, as a series
only notates specific points, and not the space between them.
Use the formula above when finding terms that are far in the sequence (ex. The 1000th term).
When you are given variables in a sequence, subtract the 1st and 2nd, or any other groups that are
sequentially next to each other, to find the d value. That will make life so much easier. 😊
Finding multiples can be a little hard in Arithmetic sequences. To do so, you will want to:
-Know a few starting values, and the ending value
-Find out what the n value is for the last value
-Then, according to the arithmetic sequence, you will find the number of multiples you are looking for!
If you are given two terms that are far apart, then…
-Subtract them from each other, and set it equal to d times the amount of values the two terms are
apart
-Now that you have the d value, use your formula and you are good to go!
And now you know how to use Arithmetic Sequences!
