Determine the common ratio of a geometric sequence.
Terms Input
Ratio (r)
Common Ratio3.0000
Next Term (a₃)18.0000
Geometric Sequence Ratio
The common ratio 'r' in a geometric sequence is the constant multiplicative factor between consecutive terms. For a sequence a₁, a₂, a₃..., the ratio is defined as r = a₂/a₁.
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Pro Tips
If r is negative, the sequence allows terms to alternate signs (oscillating sequence).
If |r| < 1, the sequence converges towards 0.
If |r| > 1, the sequence grows exponentially.
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Fun Facts
"Zeno's Paradoxes often rely on infinite geometric series with ratios less than 1."
"Compound interest calculations fundamentally describe a geometric progression over time."
