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🧠 Geometric Series: Show Your Thinking (A-SSE.B.4)

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Derive and use the formula for the sum of a finite geometric series. Solve each problem and show your work.

1. Sum of the first 5 terms: 6, -12, 24, …
Show your work
2. Sum of the first 4 terms: 8, -16, 32, …
Show your work
3. Sum of the first 7 terms: 9, -18, 36, …
Show your work
4. Sum of the first 4 terms: 4, 8, 16, …
Show your work
5. Sum of the first 4 terms: 3, 9, 27, …
Show your work
6. Sum of the first 4 terms: 5, 15, 45, …
Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) 66 · 2) -40 · 3) 387 · 4) 60 · 5) 120 · 6) 200
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Worksheets › Grade 11 Math (Algebra II) › Geometric Series › Geometric Series

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

About this grade 11 worksheet

Free Grade 11 Algebra II math worksheet (Common Core A-SSE.B.4): geometric series — problems with space to show work and explain reasoning, with answer key. Skill: Derive and use the formula for the sum of a finite geometric series. Level: Grade 11 — also suits Year 12 (UK).

For teachers: skills & standards

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What age is it for?

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

What skills does it build?

Derive and use the formula for the sum of a finite geometric series.

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More “Geometric Series” printables (a-sse.b.4: derive and use the formula for the sum of a finite geometric series)

Geometric Series: Practice A (A-SSE.B.4) · Geometric Series: Practice B (A-SSE.B.4) · Geometric Series: Mixed Practice & Reasoning (A-SSE.B.4) · Geometric Series: Quick Check (A-SSE.B.4)

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

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