๐Ÿ”ข Number Sequence Calculator

Generate arithmetic and geometric sequences, find the nth term, sum of series, and Fibonacci numbers.

Sequence Type

Sequence
โ€”
Sum of Series
โ€”
Mean of Terms
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Sequence Formulas

Arithmetic: aโ‚™ = aโ‚ + (nโˆ’1)d | Sโ‚™ = n/2 ร— (aโ‚ + aโ‚™)
Geometric: aโ‚™ = aโ‚ ร— rโฟโปยน | Sโ‚™ = aโ‚(rโฟโˆ’1)/(rโˆ’1), rโ‰ 1
Fibonacci: F(n) = F(nโˆ’1) + F(nโˆ’2), F(1)=1, F(2)=1

Key Differences

  • Arithmetic: Each term differs by a constant amount (e.g., 2, 5, 8, 11โ€ฆ d=3)
  • Geometric: Each term multiplied by a constant ratio (e.g., 3, 6, 12, 24โ€ฆ r=2)
  • Fibonacci: Each term is the sum of the two preceding terms