✏️ Arithmetic & Geometric Sequences: Practice A (F-BF.A.2)
Paginepagineapp.comWrite arithmetic and geometric sequences recursively and explicitly. Solve each problem.
1. Arithmetic: 17, 13, 9, 5, … Explicit formula and 20th term?
2. Geometric: 4, 8, 16, 32, … Explicit formula and 8th term?
3. Arithmetic: -2, -5, -8, -11, … Explicit formula and 20th term?
4. Geometric: 2, 6, 18, 54, … Explicit formula and 8th term?
5. Arithmetic: 8, 10, 12, 14, … Explicit formula and 20th term?
6. Geometric: 2, 4, 8, 16, … Explicit formula and 8th term?
7. Arithmetic: -8, 1, 10, 19, … Explicit formula and 20th term?
8. Geometric: 3, 9, 27, 81, … Explicit formula and 8th term?
9. Arithmetic: 6, 9, 12, 15, … Explicit formula and 20th term?
10. Arithmetic: 20, 27, 34, 41, … Explicit formula and 20th term?
11. Geometric: 6, 18, 54, 162, … Explicit formula and 8th term?
12. Arithmetic: -6, -10, -14, -18, … Explicit formula and 20th term?
Answer key: 1) aₙ = 17 + -4(n − 1); a₂₀ = -59 · 2) aₙ = 4·(2)^(n−1); a₈ = 512 · 3) aₙ = -2 + -3(n − 1); a₂₀ = -59 · 4) aₙ = 2·(3)^(n−1); a₈ = 4,374 · 5) aₙ = 8 + 2(n − 1); a₂₀ = 46 · 6) aₙ = 2·(2)^(n−1); a₈ = 256 · 7) aₙ = -8 + 9(n − 1); a₂₀ = 163 · 8) aₙ = 3·(3)^(n−1); a₈ = 6,561 · 9) aₙ = 6 + 3(n − 1); a₂₀ = 63 · 10) aₙ = 20 + 7(n − 1); a₂₀ = 153 · 11) aₙ = 6·(3)^(n−1); a₈ = 13,122 · 12) aₙ = -6 + -4(n − 1); a₂₀ = -82
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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 — twelve practice problems, 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.
What skills does it build?
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 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) · Arithmetic & Geometric Sequences: Quick Check (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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