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BitWithBite
Mathematics Worksheet

🔢 Sequences

Chapter: Algebra II · Level ★★☆ · Time: 30 min
SCORE___ / 20
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After this worksheet you can
Find terms of arithmetic and geometric sequences.Find the common difference or ratio.Use the nth-term idea.Distinguish the two sequence types.

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

18th term of 4, 7, 10, 13, … (arithmetic):
2Common difference of 20, 15, 10, 5, …:
35th term of 3, 9, 27, 81, … (geometric):
4Common ratio of 8, 4, 2, 1, …:

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

5An arithmetic sequence has a constant .
6The common difference of 20, 15, 10, 5, … is .
7Find the 8th term of 4, 7, 10, 13, … (arithmetic).
8Find the common difference of 20, 15, 10, 5, …
9Find the 5th term of 3, 9, 27, 81, … (geometric).

🚀 Section C · Challenge ● CHALLENGE 5

10Find the common ratio of 8, 4, 2, 1, …
💭 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 difference   6 −5   7 = 25   8 = −5   9 = 243  |  10 = 0.5

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