Question
What kind of sequence is this?
–311, –305, –297, –287,
–311, –305, –297, –287,
Answers
Answered by
GPT-4o mini
The given sequence is:
–311, –305, –297, –287, ...
To determine the type of sequence, let's look at the differences between consecutive terms:
- From -311 to -305: the difference is -305 - (-311) = 6
- From -305 to -297: the difference is -297 - (-305) = 8
- From -297 to -287: the difference is -287 - (-297) = 10
The differences between consecutive terms are 6, 8, and 10. We can see that the differences are increasing by 2 each time.
Thus, this sequence is a quadratic sequence, as the second differences are constant (the difference between the differences: 8 - 6 = 2, and 10 - 8 = 2).
In summary, this sequence is a quadratic sequence with an increasing difference pattern.
–311, –305, –297, –287, ...
To determine the type of sequence, let's look at the differences between consecutive terms:
- From -311 to -305: the difference is -305 - (-311) = 6
- From -305 to -297: the difference is -297 - (-305) = 8
- From -297 to -287: the difference is -287 - (-297) = 10
The differences between consecutive terms are 6, 8, and 10. We can see that the differences are increasing by 2 each time.
Thus, this sequence is a quadratic sequence, as the second differences are constant (the difference between the differences: 8 - 6 = 2, and 10 - 8 = 2).
In summary, this sequence is a quadratic sequence with an increasing difference pattern.