Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for an arithmetic and geometric sequences quiz? Then this Algebra 1 quiz on Arithmetic and Geometric Sequences as Functions asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on classifying sequences, formulas and domain. Each explanation names the usual off-by-one or sign mistake behind the wrong options.
Standards: F-IF.A.3, F-BF.A.2, F-LE.A.2 · Level: Grade 9 Algebra 1
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
- By how much does each term of 4, 11, 18, 25 increase?
- Continue the geometric pattern 4, 12, 36 by one more term.
- Which formula matches the graph?
- Which rule gives the nth term of 5, 10, 20, 40, …?
- Which recursive formula describes 9, 6, 3, 0, …?
- What kind of sequence is shown, and what is its constant?
- An arithmetic sequence has a1 = 7 and d = 5. What is a10?
- Which numbers can be inputs when a sequence is viewed as a function?
- Which sequence is geometric?
- In an = 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.