Calculatrice de Suite Arithmétique Gratuite
Calculez les termes d'une suite arithmétique. Trouvez le n-ième terme, la raison et la somme des n premiers termes.
Nth Term
48.0000
Moyenne25.5000
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.
Exemple Résolu
Arithmetic sequence: first term = 3, common difference = 5, find the 10th term and sum.
- 01a₁₀ = 3 + (10-1) × 5 = 3 + 45 = 48
- 02Sum = 10/2 × (3 + 48) = 5 × 51 = 255
Questions Fréquentes
What is an arithmetic sequence?
An arithmetic sequence has a constant difference between consecutive terms. Examples: 2,5,8,11,14... (d=3) or 100,90,80,70... (d=-10).
How do I find the common difference?
Subtract any term from the next term: d = a₂ - a₁. If this value is constant throughout, it is an arithmetic sequence.
What is the sum formula?
Sₙ = n/2 × (first + last). This is the number of terms times the average of the first and last terms.
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