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Geometric & Numeric Patterns Worksheets

Free printable geometric & numeric patterns worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from identify a sequence as arithmetic or geometric at the easy level through to find the sum of the first n terms of a geometric series at the advanced level.

NO.LK20.9

Difficulty Levels

Beginner

Concepts
Identify a sequence as arithmetic or geometric
Number Range
1–100+
Steps
3 steps
Example
Is 3, 6, 9, 12, 15 arithmetic or geometric?

Easy

Concepts
Find the common ratio of a geometric sequence
Number Range
1–1000+
Steps
3 steps
Example
In 2, 6, 18, 54, what is the common ratio?

Medium

Concepts
Find the nth term of a geometric sequence using the formula
Number Range
2–10000+
Steps
3 steps
Example
A geometric sequence starts 3, 6, 12, ... What is the 6th term?

Hard

Concepts
Find the sum of the first n terms of a geometric series
Number Range
2–10000+
Steps
4 steps
Example
Find the sum of the first 5 terms of 2, 6, 18, ...

Grade Availability

Geometric & Numeric Patterns worksheets are available for Grade 9. Problems are automatically adjusted to match grade-level expectations in number range, complexity, and notation.

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