Number Sequence Calculator

Calculate terms and sums for Arithmetic, Geometric, and Fibonacci sequences

Calculate terms and sums for Arithmetic, Geometric, and Fibonacci sequences.

About Sequences

Arithmetic Sequence

aₙ = a₁ + (n-1)×d

Constant difference between terms

Ex: 1, 3, 5, 7, 9...

Geometric Sequence

aₙ = a₁ × r^(n-1)

Constant ratio between terms

Ex: 1, 2, 4, 8, 16...

Fibonacci Sequence

Fₙ = Fₙ₋₁ + Fₙ₋₂

Each term is sum of previous two

Ex: 0, 1, 1, 2, 3, 5, 8...

Applications

  • • Financial calculations
  • • Population growth models
  • • Computer algorithms
  • • Nature patterns

Arithmetic Sequence

Geometric Sequence

Fibonacci Sequence