About Number Sequence Calculator

This calculator supports arithmetic, geometric, Fibonacci, and custom sequences. It can calculate the n-th term, the sum of the first n terms, and display the general formula for each sequence type.

Supported Sequences

• Arithmetic Sequence: Each term increases by a constant difference (d). Formula: aₙ = a₁ + (n-1)d
• Geometric Sequence: Each term is multiplied by a constant ratio (r). Formula: aₙ = a₁ × rⁿ⁻¹
• Fibonacci Sequence: Each term is the sum of the previous two. F₁=1, F₂=1, Fₙ=Fₙ₋₁+Fₙ₋₂
• Custom Sequence: User-defined sequence (comma-separated)

Features

• Calculate n-th term and sum of first n terms
• Show general and sum formulas
• Step-by-step calculation process
• Support for custom sequences

Examples

• Arithmetic: a₁=2, d=3, n=5 → a₅=14, S₅=40
• Geometric: a₁=2, r=2, n=4 → a₄=16, S₄=30
• Fibonacci: n=7 → F₇=13, S₇=33
• Custom: 2,4,8,16,32, n=3 → a₃=8, S₃=14