Number Sequence Calculator
Arithmetic Sequence
Each term increases by a constant difference (d)
Geometric Sequence
Each term is multiplied by a constant ratio (r)
Formula
Arithmetic: aₙ = a₁ + (n-1)d | Geometric: aₙ = a₁ × r^(n-1)
Frequently Asked Questions
What is an arithmetic sequence?
A sequence where each term increases by a constant difference d. Example: 2, 5, 8, 11, 14 (d=3). nth term: aₙ = a₁ + (n-1)d. Sum: Sₙ = n(a₁+aₙ)/2.
What is a geometric sequence?
A sequence where each term is multiplied by a constant ratio r. Example: 2, 6, 18, 54 (r=3). nth term: aₙ = a₁ × r^(n-1). Sum: Sₙ = a₁(r^n - 1)/(r-1).
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