P3
Geometric Sequence
等比数列
Pattern / 模式识别Grades G4 - G7
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What It Looks Like
Recognition signals — when you see these, think of this structure:
- 1A sequence where terms grow or shrink rapidly
- 2Numbers that look like they're being multiplied by the same factor
- 3Words like 'doubles each time' or 'halves each stage'
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What It Really Tests
The core mathematical idea behind this structure:
Each term is obtained by multiplying the previous term by a constant ratio.
每一项都是前一项乘以固定比值。
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Why Students Get Stuck
Common mistakes to watch out for:
- ⚠Assuming it's a linear pattern and checking differences
- ⚠Only testing the first two terms and not verifying the pattern continues
- ⚠Confusing multiplication with exponentiation
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Your First Step
How to begin thinking about problems with this structure:
Compute the ratio between consecutive terms: divide each term by the one before it.
计算相邻项的比值：用每一项除以前一项。
Related Structures
These structures share similar patterns or thinking approaches: