Students will find the nth term of 11 quadratic sequences by subtracting the quadratic part and finding the nth term of the resulting linear sequence throughout this well scaffolded worksheet.
The worksheet begins with an example. Here students are guided through the process of finding the first and second differences of terms in order to determine the coefficient of n2, subtracting this from the sequence, finding the nth term of the resulting linear sequence, and finally combining this to find the nth term of the quadratic sequence.
The nth terms get increasingly more complex as the worksheet progresses and includes nth terms where the coefficient of n2 is greater than one.
