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Algebra 1 › Arithmetic Sequences — Explicit and Recursive Formulas
Algebra 1 · F-BF
Arithmetic Sequences — Explicit and Recursive Formulas
An arithmetic sequence adds a constant d each time. Explicit form a(n) = a₁ + (n−1)d; recursive form a(n) = a(n−1) + d.
Algebra 1Common Core HSF-BF.A.2F-BFVerified correct ✓
Worked examples
An arithmetic sequence has first term a₁ = 6 and common difference d = 10. Find the 14th term.
Answer: 136
An arithmetic sequence has first term a₁ = -8 and common difference d = -1. Find the 10th term.
Answer: -17
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