Grade 11 • Formula Set 4
Sequences & series formulas: arithmetic and geometric explicit/recursive rules, plus series sums.
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Why it matters
- Write an explicit formula to jump straight to any term.
- Use recursive rules to model “repeat the process” patterns.
- Know when a sequence is arithmetic vs. geometric.
- Use series formulas to compute totals quickly.
- Connect patterns to prediction, finance, and science models.
- These formulas show up constantly in Algebra 2 and SAT problems.
Tip: Arithmetic = add d. Geometric = multiply by r.
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01 — Arithmetic Explicit Formula