Number Sequence Calculator (Arithmetic & Geometric)
Algebra and series calculator. For Arithmetic Progression computes $a_n = a_1 + (n-1)d$ and $S_n$. For Geometric Progression computes $a_n = a_1 \cdot r^{n-1}$ and $S_n$.
Input Parameters
Instant Calculation Result
Adjust values on the left to calculate live results.
In-Depth Guide & Mathematical Methodology
🔢 Arithmetic vs Geometric Sequences
Arithmetic Sequence: Each term is obtained by adding a constant difference d to the previous term (e.g. 2, 5, 8, 11...).
Geometric Sequence: Each term is obtained by multiplying the previous term by a constant ratio r (e.g. 3, 6, 12, 24...).
Frequently Asked Questions (FAQ)
What is the Number Sequence Calculator (Arithmetic & Geometric) and how does it work?
Algebra and series calculator. For Arithmetic Progression computes $a_n = a_1 + (n-1)d$ and $S_n$. For Geometric Progression computes $a_n = a_1 \cdot r^{n-1}$ and $S_n$.
How do I use this Number Sequence Calculator (Arithmetic & Geometric)?
Select Progression Type (Arithmetic vs Geometric). Enter First Term ($a_1$). Enter Common Difference ($d$) or Ratio ($r$). Enter number of terms ($n$). View nth term $a_n$ and series sum $S_n$.
What mathematical formula is used in this calculation?
Arithmetic: a_n = a1 + (n-1)*d, S_n = n*(a1 + a_n)/2. Geometric: a_n = a1 * r^(n-1), S_n = a1*(r^n - 1)/(r - 1).
Is the Number Sequence Calculator (Arithmetic & Geometric) on FindCalculator free to use?
Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.