Episode 5 — Patterns and Sequences

Quadratic Sequences Question 2

Learners will be able to:

• Identify the general form of a quadratic sequence as Tn = an^2 + bn + c. • Calculate the value of 'a' using the constant second difference given in the problem. • Solve simultaneous equations to find the values of 'b' and 'c'. • Substitute values into the general term formula to determine the coefficients 'a', 'b', and 'c'. • Derive the general term for a quadratic sequence from the given terms and constant second difference.