Number Sequence Calculator
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Understanding Number Sequences
Arithmetic Sequences
- Difference between terms is constant
- Example: 2, 5, 8, 11 (d=3)
- nth term: an = a1 + (n-1)d
- Common in linear patterns
Geometric Sequences
- Ratio between terms is constant
- Example: 2, 6, 18, 54 (r=3)
- nth term: an = a1 × r^(n-1)
- Common in exponential growth
Applications
- Financial calculations
- Population growth models
- Pattern recognition
- Problem-solving in math