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AP Precalculus

AP Precalc 2.1–2.3: Mock Concept Check (Set C)

Shared by Ashton · Oct 25, 2026 · 0 plays

16 mixed questions like the real 2.1–2.3 concept check: sequences, tables, graphs, limit statements, growth and decay, and context problems. Set a 30-minute timer. 14–16 right means you're ready.

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16 questions across 14 sections. After every answer you’ll see why each choice is right or wrong, not just the one you picked.

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Sample questions

Open a question to see the answer choices and the correct answer.

An arithmetic sequence has a₄ = −2 and a₁₀ = 16. Which gives an expression for aₙ and the value of a₁₁?
  1. A. aₙ = −2 + 3n, and a₁₁ = 31
  2. B. aₙ = −2 + 3(n − 4), and a₁₁ = 19 ✓
  3. C. aₙ = 16 + 3(n − 4), and a₁₁ = 37
  4. D. aₙ = −2 + 2(n − 4), and a₁₁ = 12

Correct answer: B. D = (16 − (−2))/(10 − 4) = 18/6 = 3, so aₙ = −2 + 3(n − 4) and a₁₁ = −2 + 21 = 19.

The first five terms of a sequence are graphed as points: (1, 13), (2, 9), (3, 5), (4, 1), (5, −3). — Which of the following could be an expression for aₙ?
  1. A. aₙ = 13 − 4n
  2. B. aₙ = 13(−4)^(n − 1)
  3. C. aₙ = 17 − 4n ✓
  4. D. aₙ = 9 − 4(n − 1)

Correct answer: C. The terms drop by 4 each time, so it's arithmetic with d = −4. Check: a₁ = 17 − 4 = 13.

x: 0, 1, 2, 3, 4 | g(x): 162, 54, 18, 6, 2 — The exponential function g is defined by g(x) = abˣ, where a and b are positive constants. Which of the following is true?
  1. A. g shows exponential growth, because a > 0 and b > 1.
  2. B. g shows exponential growth, because a > 0 and 0 < b < 1.
  3. C. g shows exponential decay, because a > 0 and b > 1.
  4. D. g shows exponential decay, because a > 0 and 0 < b < 1. ✓

Correct answer: D. A = 162 and b = 54/162 = ⅓. With a > 0 and 0 < b < 1, that's exponential decay.

Which of the following functions shows exponential decay?
  1. A. y = 4(5/3)ˣ
  2. B. y = −4(3/5)ˣ
  3. C. y = 4(3/5)ˣ ✓
  4. D. y = −4(5/3)ˣ

Correct answer: C. Decay means a > 0 and 0 < b < 1.

lim(x→−∞) h(x) = ∞ and lim(x→∞) h(x) = 0 — The end behavior of an exponential function h is described by the limit statements. Which of the following could be h(x)?
  1. A. 2(⅓)ˣ ✓
  2. B. −2(⅓)ˣ
  3. C. 2(3)ˣ
  4. D. −2(3)ˣ

Correct answer: A. The right side goes to 0, so 0 < b < 1. The left side goes to +∞, so a > 0.