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Mathematics Worksheet

➕ Series

Chapter: Algebra II · Level ★★☆ · Time: 30 min
SCORE___ / 20
NameClassDate
After this worksheet you can
Sum an arithmetic series.Sum a geometric series.Sum an infinite geometric series.Distinguish a sequence from a series.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1Sum of 1 + 2 + … + 10:
2Sum of the first 8 terms of 3, 6, 9, 12, …:
3Sum of the first 5 terms of 3, 6, 12, 24, …:
4Sum of 9 + 3 + 1 + 1/3 + …:

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5A is the sum of the terms of a sequence.
6The sum 1 + 2 + … + 10 is .
7Find the sum of the first 10 terms of 1, 2, 3, …, 10 (arithmetic).
8Find the sum of the first 8 terms of 3, 6, 9, 12, … (arithmetic).
9Find the sum of the first 5 terms of 3, 6, 12, 24, … (geometric).

🚀 Section C · Challenge ● CHALLENGE 5

10Find the sum of the infinite series 9 + 3 + 1 + 1/3 + …
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-A  |  5 series   6 55   7 = 55   8 = 108   9 = 93  |  10 = 13.5

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