Algebra › Section L · Sequences, series, and the binomial theorem › Topic L.2

Arithmetic sequences

Some sequences climb like a staircase — the same step, every time. An arithmetic sequence adds a fixed common difference at each term, which makes its behaviour predictable from just two pieces of information: where it starts and how big the step is.

In this topic

  • The staircase pattern
  • The common difference
  • The general term
  • Worked example: jumping far ahead
  • Is this number even in the sequence?
  • Worked example: two terms reveal everything
  • Arithmetic sequences in the wild
  • Common mistakes to avoid
  • Key takeaways

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