Arithmetic Series Sum Calculator
Find the sum of the first n terms in an arithmetic series using the formula S = n/2 × (2a₁ + (n−1)d).
Assumes a standard arithmetic progression.
Examples
- a₁=1, d=1, n=100 ⇒ 5050
- a₁=3, d=2, n=5 ⇒ 35
FAQ
Can n be zero?
With zero terms, the sum is 0.
What if d is negative?
A negative difference decreases subsequent terms.
Does it handle fractional values?
Yes, decimals are allowed.
Additional Information
- Applies to sequences where each term increases or decreases by the same amount.
- Pairs the first and last terms so each pair shares the same total, simplifying the sum.