Generate and analyze number sequences. Find patterns, calculate terms, and understand mathematical sequences with step-by-step explanations.
Generate sequences with constant difference between terms. Formula: aₙ = a₁ + (n-1)d
Create sequences with constant ratio between terms. Formula: aₙ = a₁ × r^(n-1)
Generate the famous Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, ...
Identify patterns and predict next terms in any number sequence.
Calculate any term in the sequence without generating all previous terms.
Calculate sum of first n terms for arithmetic and geometric sequences.
1, 3, 5, 7, 9, 11, ...
Arithmetic with d = 2
Formula: aₙ = 2n - 1
2, 4, 6, 8, 10, 12, ...
Arithmetic with d = 2
Formula: aₙ = 2n
1, 4, 9, 16, 25, 36, ...
Custom sequence
Formula: aₙ = n²
1, 8, 27, 64, 125, ...
Custom sequence
Formula: aₙ = n³
0, 1, 1, 2, 3, 5, 8, ...
Fibonacci sequence
Formula: aₙ = aₙ₋₁ + aₙ₋₂
2, 6, 18, 54, 162, ...
Geometric with r = 3
Formula: aₙ = 2 × 3^(n-1)