Arithmetic and Geometric Sequences Quiz – Algebra 1 (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Standards: F-IF.A.3, F-BF.A.2, F-LE.A.2 · Level: Grade 9 Algebra 1

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What this Arithmetic and Geometric Sequences as Functions quiz checks

• A sequence is a function whose domain is the positive integers.
• Arithmetic: constant difference d; explicit formula aₙ = a₁ + (n − 1)d.
• Geometric: constant ratio r; explicit formula aₙ = a₁rⁿ⁻¹.
• A recursive formula needs a starting value and a rule from the previous term.
• Arithmetic sequences grow like linear functions, geometric ones like exponentials.

The 10 questions of the quiz

1. By how much does each term of 4, 11, 18, 25 increase?
2. Continue the geometric pattern 4, 12, 36 by one more term.
3. Which formula matches the graph?
4. Which rule gives the nth term of 5, 10, 20, 40, …?
5. Which recursive formula describes 9, 6, 3, 0, …?
6. What kind of sequence is shown, and what is its constant?
7. An arithmetic sequence has a₁ = 7 and d = 5. What is a₁₀?
8. Which numbers can be inputs when a sequence is viewed as a function?
9. Which sequence is geometric?
10. In a_n = 6 · (1/2)^{n − 1}, what happens to the terms?

After the quiz

Missed a question? Reread the Arithmetic and Geometric Sequences as Functions lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Arithmetic and Geometric Sequences as Functions, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.

Mis à jour le 22 October 2026