Geometric Sequence Note Summary
A geometric sequence is a sequence in which the ratio of consecutive terms in a constant.
The ratio is also known as the common ratio, and goes as:
The domain is the set of positive integers (n!)
The range is the values of the sequence.
The graph will look like an increasing exponential number.
DO NOT CONNECT THE POINTS! See reasoning in Arithmetic series notes.
The formula for the geometric series is:
Most values are the same but…
R represents the common ratio!
Drawing a picture to know the spacing between two different terms helps!
Finding the common ratio with two values that are farther apart
Find the space between two values (by amount of values)
Then, create a ratio and divide the two by each other.
Lastly, create another ratio involving another value closest to the one you have found, and you will get
your answer!
Most Geometric Sequence questions are remarkably like each other. 😊
