Demystifying - The nth term of a quadratic sequence

Drills

Halving the second difference for the n² coefficient, then fixing what is left with a linear nth term.

Author note — to cover (Higher)

Higher page, per the A25 braces. Find nth terms an² + bn + c: halve the constant second difference for a, subtract the an² values from the sequence, then find the linear remainder's nth term; include a = 1 and a = 2 cases and pattern contexts. Cubic sequences are A level. (A25)

  • Fluency — direct questions on the nth term of a quadratic sequence, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on The nth term of a quadratic sequence.