Rechner für arithmetische Folgen
Berechnen Sie das n-te Glied und die Summe einer arithmetischen Folge.
Tilgungsplan
| # | Zahlung | Kapital | Zinsen | Restschuld |
|---|---|---|---|---|
Zeige die ersten 12 von Monate.
Wachstum über die Zeit
| Jahr | Investiert | Wert |
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Einführung
Arithmetic Sequence Calculator — Compute the nth term and sum of an arithmetic sequence. Enter First term, Common difference, n to get an instant, accurate result.
Formel
nth term = a₁ + (n−1)d. Sum of first n terms = (n/2) × (2a₁ + (n−1)d), where a₁ is the first term and d is the common difference.
Schritt für Schritt
- Enter the First term.
- Enter the Common difference.
- Enter the n.
- Click Calculate to see your result instantly.
Praxisbeispiel
Example: With First term = 2, Common difference = 3, n = 10, the Arithmetic Sequence Calculator gives Nth Term: 29, Sum: 155.
Häufig Gestellte Fragen
What is the common difference?
The fixed amount added to each term to get the next one — it can be positive, negative, or a fraction.
How is the sum formula derived?
It's the average of the first and nth term, multiplied by the number of terms.
What inputs does the Arithmetic Sequence Calculator need?
You'll need to provide: First term, Common difference, n. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Arithmetic Sequence Calculator?
The Arithmetic Sequence Calculator applies the formula exactly as calculated — nth term = a₁ + (n−1)d. Sum of first n terms = (n/2) × (2a₁ + (n−1)d), where a₁ is the first term and d is the common difference. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Arithmetic Sequence Calculator free to use?
Yes, the Arithmetic Sequence Calculator is completely free, requires no signup, and runs instantly in your browser.
Über Rechner für arithmetische Folgen
The Arithmetic Sequence Calculator uses a real, verifiable formula — nth term = a₁ + (n−1)d. Sum of first n terms = (n/2) × (2a₁ + (n−1)d), where a₁ is the first term and d is the common difference. — so results are accurate every time, not an approximation.