Sequences and Series Quiz – Algebra 2 (10 Questions)

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

Standards: A-SSE.B.4, F-BF.A.2, F-IF.A.3 · Level: Grade 11 Algebra 2

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What this Sequences and Series: Patterns That Add Up quiz checks

• Arithmetic: constant difference d; geometric: constant ratio r.
• Explicit rules give any term directly; recursive rules need the previous term and a starting value.
• Sigma notation ∑ adds an expression from a starting index to an ending index.
• Arithmetic sum: Sn = n(a1 + an)/2.
• Geometric sum: Sn = a1(1 − rn)/(1 − r), with r ≠ 1.

The 10 questions of the quiz

1. Which sequence is geometric?
2. What is the 20th term of 9, 13, 17, …?
3. What is the common ratio of 80, 20, 5, …?
4. Which is the explicit rule for 4, 6, 9, 13.5, …? See the graph.
5. Evaluate ∑_k=1⁴ (5k − 3).
6. The recursive rule a_n = a_n−1 − 7 with a₁ = 30 gives a₄ =
7. Find 1 + 2 + 3 + … + 60 using the formula.
8. Which sum formula applies to 3 + 6 + 12 + 24 + 48?
9. The graph shows seats per row in a stadium. How many seats are in row 4?
10. A savings plan adds $100 per month at 1% per month. The balance after the 3rd deposit is

After the quiz

Missed a question? Reread the Sequences and Series: Patterns That Add Up lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Sequences and Series: Patterns That Add Up, 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