Geometric Progression — Definition
A geometric progression is a sequence in which each term is obtained by multiplying the previous term by the same non-zero constant ratio.
Practice This ConceptMain explanation
Teacher explanation
In a GP, the common ratio r stays the same. If the first term is a, then the nth term is an = a · r^(n - 1). GP patterns appear in repeated doubling, halving, compound growth, and certain decay situations.
Example
3, 6, 12, 24 is a GP with first term a = 3 and common ratio r = 2.
Simple analogy
GP means same multiplier every step.
Common confusion
Students sometimes subtract consecutive terms and call it GP, but GP depends on ratio, not difference.
Exam tip
To test a GP, divide consecutive terms: second by first, third by second, and so on.
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