How do you determine if 15,-5,-25,-45 is an arithmetic or geometric sequence?
1 Answer
Jun 27, 2015
The sequence is an arithmetic sequence.
Explanation:
- In an Arithmetic sequence there is a common difference
#d# between any two consecutive terms - In a Geometric sequence there is a common ratio
#r# for any two consecutive terms
The sequence given is :
1) Checking if the sequence is an arithmetic sequence:
As observed
2) Checking if the sequence is also a geometric sequence:
Since
So the sequence is an arithmetic sequence.