Number Sequence Calculator
Generate sequences, find patterns, calculate nth terms, and compute sums for various number sequences
Sequence Calculator
Choose sequence type and calculation mode
About Number Sequences
Arithmetic Sequences
- Pattern: Constant difference between terms
- Formula: a(n) = a₁ + (n-1)d
- Sum: S(n) = n/2 × [2a₁ + (n-1)d]
Geometric Sequences
- Pattern: Constant ratio between terms
- Formula: a(n) = a₁ × r^(n-1)
- Sum: S(n) = a₁(r^n - 1)/(r - 1)
Fibonacci Sequence
- Pattern: Each term = sum of previous two
- Starts: 0, 1, 1, 2, 3, 5, 8, 13...
- Golden Ratio: Ratio approaches φ ≈ 1.618
Pattern Recognition
- Detects arithmetic and geometric patterns
- Identifies Fibonacci-like sequences
- Recognizes quadratic sequences
- Predicts next terms based on pattern