Arithmetic Sequence Calculator — Formule
## Arithmetic Sequence
### nth Term
**aₙ = a₁ + (n - 1) × d**
### Sum of n Terms
**Sₙ = n/2 × (2a₁ + (n-1)d)**
or equivalently: **Sₙ = n/2 × (a₁ + aₙ)**
An arithmetic sequence has a constant difference between consecutive terms.
### nth Term
**aₙ = a₁ + (n - 1) × d**
### Sum of n Terms
**Sₙ = n/2 × (2a₁ + (n-1)d)**
or equivalently: **Sₙ = n/2 × (a₁ + aₙ)**
An arithmetic sequence has a constant difference between consecutive terms.
Exemple Résolu
Arithmetic sequence: first term = 3, common difference = 5, find the 10th term and sum.
- a₁₀ = 3 + (10-1) × 5 = 3 + 45 = 48
- Sum = 10/2 × (3 + 48) = 5 × 51 = 255