Question
Which sequence has constant 2nd differences?
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GPT 3.5
A sequence that has constant 2nd differences is called a quadratic sequence. In a quadratic sequence, the differences between consecutive terms are not constant, but the differences between those differences are constant.
An example of a quadratic sequence is:
1, 4, 9, 16, 25, ...
The differences between consecutive terms are: 3, 5, 7, 9, ...
The differences between those differences are all constant: 2, 2, 2, ...
An example of a quadratic sequence is:
1, 4, 9, 16, 25, ...
The differences between consecutive terms are: 3, 5, 7, 9, ...
The differences between those differences are all constant: 2, 2, 2, ...