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AP Precalculus

AP Precalc Unit 2A (2.1–2.6): Basic Solving + Conceptual FRQ

Shared by Ashton · Nov 2, 2026 · 0 plays

Warm-up FRQs for the Unit 2A AP Readiness test (2.1–2.6): sequence formulas, linear vs exponential tables, a depreciation model, residual basics. Rubric and sample answer for every part.

12 questions across 4 sections. Write your answer, then check it against the rubric and score yourself.

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Sample questions

Open an item to see its answer.

(a) Write an explicit formula for aₙ and find a₁₀.

Sample answer: aₙ = 4 + 6(n − 1). a₁₀ = 4 + 54 = 58.

(b) Write an explicit formula for gₙ and find g₆.

Sample answer: gₙ = 5(2)^(n−1). g₆ = 5(2)⁵ = 160.

(c) Explain the difference between how arithmetic and geometric sequences change.

Sample answer: An arithmetic sequence adds the same amount (6) each term. A geometric sequence multiplies by the same factor (2) each term.

(a) Is f linear or exponential? Is g linear or exponential? Justify each.

Sample answer: f doubles each step (constant ratio 2), so it's exponential. g goes up by 4 each step (constant difference), so it's linear.

(b) Write an equation for f and for g.

Sample answer: f(x) = 3(2)ˣ and g(x) = 3 + 4x.