Episode 7 — Patterns and Sequences

Quadratic Sequences

Learners will be able to:

• Identify the general form of a quadratic sequence as Tn = an^2 + bn + c. • Explain that in a quadratic sequence, the second difference between consecutive terms is constant and has the value 2a. • Determine the value of 'a' by equating the constant second difference to 2a. • Solve simultaneous equations to find the values of 'b' and 'c'. • Write down the general term for a specific quadratic sequence given its first few terms.