Understanding Sequences

Sequences are ordered lists of numbers defined by a rule (nth-term formula). They are fundamental in calculus for studying series convergence, in computer science for algorithms, and in physics for modeling discrete systems.

How to Use This Calculator

Enter your nth-term expression using 'n' as the variable (e.g., 3*n-2 for arithmetic, n^2 for quadratic)
Specify the start and end indices (n values) to evaluate
Click compute to generate terms and see the visual plot

Examples

Arithmetic: 2*n+1 → n=1: 3, n=2: 5, n=3: 7
Geometric: 3*(2^(n-1)) → n=1: 3, n=2: 6, n=3: 12
Convergent: 1/n → n=1: 1, n=2: 0.5, n=3: 0.333...

Frequently Asked Questions

What expressions are supported?

Basic arithmetic, exponents, parentheses, and functions: sin, cos, tan, log, ln, sqrt, abs. Use 'n' as your variable.

How are decimals handled?

Results show 6 decimal places by default. Floating-point precision limits may affect extreme values.

Can I plot divergent sequences?

Yes, but the plot will auto-scale. Values exceeding 1e6 may be truncated in visualization.

Sequence Calculator

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Sequence Calculator - Define and Evaluate Terms

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