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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
  1. 1Select the sequence type (arithmetic, geometric, Fibonacci, etc.)
  2. 2Enter the first term and common difference or ratio
  3. 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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