How do you tell whether the sequence #2, 4, 8, 16, 32# is arithmetic?
1 Answer
Jul 4, 2017
This is not an arithmetic sequence, it is a geometric sequence
Explanation:
Let's call the terms of the series
To see if the sequence is arithmetic, we calculate
If this is constant, we have an arithmetis sequence
This is not constant, so this is not an arithmetic sequence.
But, we can check to see if it's a geometric sequence
We calculate
So this is a geometric sequence of general term