CCSS HSF-IF.A.3 Worksheets
Algebra 2 · Interpreting Functions
Recognise that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers (for example, the Fibonacci sequence).
Below are free printable worksheets that support HSF-IF.A.3. Print them as PDFs, or generate a fresh one. Every math answer key is computed in code, so it is never wrong.
Teaching guide
What students learn
Recognise that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers (for example, the Fibonacci sequence).
Worked example
An arithmetic sequence has first term a₁ = 2 and common difference d = -7. Find the 10th term.
Answer: -61
Why: Explicit formula: aₙ = a₁ + (n - 1)d. a₁₀ = 2 + (10 - 1)(-7) = 2 + 9(-7) = 2 - 63 = -61. (The sequence begins 2, -5, -12, -19, ...)
Generated and checked in code, so it is correct.
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