✅ Arithmetic & Geometric Sequences: Quick Check (F-BF.A.2)

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Write arithmetic and geometric sequences recursively and explicitly. Work on your own. Then check your answers.

1. Arithmetic: -2, 5, 12, 19, … Explicit formula and 20th term?

2. Geometric: 1, 2, 4, 8, … Explicit formula and 8th term?

3. Arithmetic: 15, 18, 21, 24, … Explicit formula and 20th term?

4. Geometric: 5, 15, 45, 135, … Explicit formula and 8th term?

5. Arithmetic: 8, 12, 16, 20, … Explicit formula and 20th term?

6. Arithmetic: 5, -1, -7, -13, … Explicit formula and 20th term?

7. Geometric: 6, 12, 24, 48, … Explicit formula and 8th term?

8. Arithmetic: 3, 6, 9, 12, … Explicit formula and 20th term?

9. Arithmetic: 7, 8, 9, 10, … Explicit formula and 20th term?

10. Geometric: 5, -10, 20, -40, … Explicit formula and 8th term?

Score: ____ / 10 I can write arithmetic and geometric sequences recursively and explicitly: ☐ yes ☐ almost ☐ not yet

Answer key: 1) aₙ = -2 + 7(n − 1); a₂₀ = 131 · 2) aₙ = 1·(2)^(n−1); a₈ = 128 · 3) aₙ = 15 + 3(n − 1); a₂₀ = 72 · 4) aₙ = 5·(3)^(n−1); a₈ = 10,935 · 5) aₙ = 8 + 4(n − 1); a₂₀ = 84 · 6) aₙ = 5 + -6(n − 1); a₂₀ = -109 · 7) aₙ = 6·(2)^(n−1); a₈ = 768 · 8) aₙ = 3 + 3(n − 1); a₂₀ = 60 · 9) aₙ = 7 + 1(n − 1); a₂₀ = 26 · 10) aₙ = 5·(-2)^(n−1); a₈ = -640

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Worksheets › Grade 11 Math (Algebra II) › Arithmetic & Geometric Sequences › Arithmetic & Geometric Sequences

Grade 11 (ages 16–17)Numbers & mathsFree printable PDF

About this grade 11 worksheet

Free Grade 11 Algebra II math worksheet (Common Core F-BF.A.2): arithmetic & geometric sequences — a ten-question quick check (quiz), with answer key. Skill: Write arithmetic and geometric sequences recursively and explicitly. Level: Grade 11 — also suits Year 12 (UK).

For teachers: skills & standards

CCSS F-BF.A.2: Write arithmetic and geometric sequences recursively and explicitly
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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It is designed for Grade 11 (ages 16–17), but use it with any child who is ready.

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Write arithmetic and geometric sequences recursively and explicitly.

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More “Arithmetic & Geometric Sequences” printables (f-bf.a.2: write arithmetic and geometric sequences recursively and explicitly)

Arithmetic & Geometric Sequences: Practice A (F-BF.A.2) · Arithmetic & Geometric Sequences: Practice B (F-BF.A.2) · Arithmetic & Geometric Sequences: Mixed Practice & Reasoning (F-BF.A.2) · Arithmetic & Geometric Sequences: Show Your Thinking (F-BF.A.2)

All 5 arithmetic & geometric sequences sheets → · Grade 11 Math (Algebra II): all 10 skills → · All Common Core grades

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