Demystifying - The nth term of a linear sequence

Drills

The common difference as the multiplier of n, adjusted by a constant — a formula, not the rule add 4.

Author note — to cover

Find the nth term of an increasing linear sequence: the common difference becomes the coefficient of n, the constant adjusts from the first term, e.g. 4n − 1; stress it is a formula in n, never the rule add 4. Decreasing cases are the sibling; quadratic nth terms are Higher. Both tiers. (A25)

  • Fluency — direct questions on the nth term of a linear 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 linear sequence.