
Concept explainers
Solve the function.

Answer to Problem 32HP
Cubic sequences
Explanation of Solution
Given information: Constant third differences but not constant second differences.
Calculation:
Cubic sequences are characterized by the fact that the third difference between its terms is constant.
For example, consider the sequence :
4, 14, 40, 88, 164, …..
Looking at the first, second and third difference of this sequence would look like:
Looking at this can see that the third difference is constant, and not equal to zero, this means it is a cubic sequence .
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