00:01
In this question, we are asked to determine if this given, if the sequence is an arithmetic sequence or a geometric sequence.
00:08
Recall that an arithmetic sequence is a sequence for which the difference between any two consecutive terms is a fixed number.
00:17
And it's called the common difference.
00:20
So this sequence, so this is true for all n.
00:26
In this case, your sequence is called arithmetic.
00:32
An example of an arithmetic sequence would be like, 3, 5, 7, 9, 11, and so on.
00:44
Note that the difference between any two consecutive terms is 2.
00:49
The sequence is geometric.
00:51
The ratio between any two consecutive terms is a fixed number.
00:58
And that number is called the common ratio.
01:01
In this case, your sequence is a geometric sequence.
01:08
And the given sequence is an example of a geometric sequence.
01:13
Because if you take the ratio of the second and the first terms, so let's let the term be a1, a2, a3 and so on...