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Grade 12 Arithmetic & Geometric Series Worksheet with Answers
Grade 12 (US) · Year 13 (UK) · Class 12 (India) · Math
Unit 3: Functions ReviewLogs, Series & Complex NumbersCCSS A-SSE.B.4
Sums of finite arithmetic and geometric series, infinite geometric series and sigma notation. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.
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Practice Sheetaethelsystems.comArithmetic & Geometric Series
Grade 12 · Math
Name
Class
Date
Learning goal: Logs, Series & Complex Numbers · CCSS A-SSE.B.4
Directions: Solve each problem. Show your work, then write your answer in the box.
Evaluate: Σ (k = 1 to 8) of (2k + 3)
Answer: 96
RememberSequences and series
- 1
Evaluate: Σ (k = 1 to 8) of (4k - 1)
Answer - 2
Evaluate: Σ (k = 1 to 10) of (4k + 4)
Answer - 3
Find the sum of the first 7 terms of the geometric series with terms 5, -10, 20, ...
Show your workAnswer - 4
Find the sum of the first 7 terms of the geometric series with terms 3, -6, 12, ...
Show your workAnswer - 5
Find the sum of the first 6 terms of the geometric series with terms 3, 6, 12, ...
Show your workAnswer - 6
Find the sum of the first 8 terms of the geometric series with terms 3, 6, 12, ...
Show your workAnswer - 7
Find the sum of the first 20 terms of the arithmetic series with terms 10, 12, 14, ...
Show your workAnswer - 8
Evaluate: Σ (k = 1 to 4) of (k + 1)
Answer - 9
Find the sum of the first 8 terms of the arithmetic series with terms -3, 2, 7, ...
Show your workAnswer - 10
Evaluate: Σ (k = 1 to 9) of (3k + 4)
Answer - 11
Find the sum of the first 4 terms of the geometric series with terms 1, 2, 4, ...
Show your workAnswer - 12
Evaluate: Σ (k = 1 to 10) of (3k + 5)
Answer
★ Challenge corner for fast finishers
A circle fits exactly inside a square of side 5 (touching all four sides). What is the area of the circle in terms of π?
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Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/12/series_sum
Answer key — Arithmetic & Geometric Series (Grade 12)
- 1.136
- 2.260
- 3.215
- 4.129
- 5.189
- 6.765
- 7.580
- 8.14
- 9.116
- 10.171
- 11.15
- 12.215
- ★25π/4
Answer key (click to show)
- 1.136
- 2.260
- 3.215
- 4.129
- 5.189
- 6.765
- 7.580
- 8.14
- 9.116
- 10.171
- 11.15
- 12.215
- ★25π/4 (challenge corner)
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