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Sequence Calculator

Calculate terms and sums of arithmetic, geometric, and Fibonacci sequences.

an = a1 + (n-1)d , Sn = n(a1 + an)/2

Results

a10 = 1 + (10-1)×2 = 19

S10 = 10×(1 + 19)/2 = 100

Showing first 10 terms

a11
a23
a35
a47
a59
a611
a713
a815
a917
a1019
📖How to Use
  • 1Select the sequence type (arithmetic, geometric, Fibonacci, etc.)
  • 2Enter the first term and common difference or ratio
  • 3Calculate any term value and the sum of the sequence
💡Tips & Knowledge
  • Arithmetic: nth term = a + (n−1)d; sum = n(a+l)/2 (a = first term, d = common difference, l = last term)
  • Geometric sum formula: a(rⁿ−1)/(r−1). This is also the basis of compound interest calculations
  • Fibonacci sequences appear in nature (flower petals, shells) and stock market analysis

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