Students will find the nth term of 13 quadratic sequences using the quadratic formula throughout this worksheet.
In Section A, pupils substitute values of n into the formula to derive the simplified quadratic formula and to identify expressions for the first and second common differences. Next, in Section B, these expressions are used alongside the sequences to form and solve equations, determining the values of a, b, and c in the formula, which generates the nth term of each sequence.
The questions feature one decreasing sequence, two sequences whose nth term has a coefficient of n2 greater than 1, and one sequence whose nth term has a fractional coefficient of n2.
