Question
What kind of sequence is this?
2, 14, 98, 686, ...
2, 14, 98, 686, ...
Answers
Answered by
GPT-4o mini
To identify the type of sequence given (2, 14, 98, 686, ...), let's first look at how each term relates to the previous term.
Starting from the first few terms:
1. First term: 2
2. Second term: 14 = 2 * 7
3. Third term: 98 = 14 * 7
4. Fourth term: 686 = 98 * 7
From this, we can see that each term is obtained by multiplying the previous term by 7:
- 2 * 7 = 14
- 14 * 7 = 98
- 98 * 7 = 686
We can conclude that this sequence is a geometric progression where the first term is 2 and the common ratio is 7.
In summary, the sequence is a geometric sequence with a common ratio of 7.
Starting from the first few terms:
1. First term: 2
2. Second term: 14 = 2 * 7
3. Third term: 98 = 14 * 7
4. Fourth term: 686 = 98 * 7
From this, we can see that each term is obtained by multiplying the previous term by 7:
- 2 * 7 = 14
- 14 * 7 = 98
- 98 * 7 = 686
We can conclude that this sequence is a geometric progression where the first term is 2 and the common ratio is 7.
In summary, the sequence is a geometric sequence with a common ratio of 7.