BitWithBite
Mathematics Worksheet
➕ Series
SCORE___ / 20
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After this worksheet you can
Sum an arithmetic series.Sum a geometric series.Sum an infinite geometric series.Distinguish a sequence from a series.📚 Quick Recap
A series is what you get when you add up the terms of a sequence — turning a list of numbers into a running total, sometimes even an infinite one.
🧠 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
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✂ 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