Sequences are sets of numbers that are connected in some way. In a quadratic sequence, the difference between each term increases, or decreases, at a constant rate.

What is a quadratic sequence example?

A quadratic sequence is a sequence of numbers in which the second difference between any two consecutive terms is constant. Consider the following example: 1;2;4;7;11;… We notice that the second differences are all equal to 1. Any sequence that has a common second difference is a quadratic sequence.

How do you know if a sequence is quadratic?

A quadratic sequence is a sequence of numbers in which the second differences between each consecutive term differ by the same amount, called a common second difference.