CCSS HSF-BF.A.2 Worksheets
Algebra 2 · Building Functions
Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
Below are free printable worksheets that support HSF-BF.A.2. 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
Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
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.
Algebra worksheets
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