Result
Your result will appear here...
How to use:
- Select the series type (Arithmetic, Geometric, or Infinite Geometric)
- Enter the first term (a₁)
- Enter the common difference (d) for arithmetic or common ratio (r) for geometric series
- For finite series, enter the number of terms (n)
- Click "Calculate Sum" to see the result
- Use "Show Example" to load sample values
Formulas:
- Arithmetic Series: Sₙ = n/2 × (2a₁ + (n-1)d)
- Finite Geometric Series: Sₙ = a₁(1 - rⁿ)/(1 - r) when r ≠ 1
- Infinite Geometric Series: S = a₁/(1 - r) when |r| < 1
Examples:
- Arithmetic: 2 + 5 + 8 + 11 (n=4, a₁=2, d=3) → Sum = 26
- Geometric: 3 + 6 + 12 + 24 (n=4, a₁=3, r=2) → Sum = 45
- Infinite Geometric: 1 + 0.5 + 0.25 + ... (a₁=1, r=0.5) → Sum = 2