Arithmetic Sequence & Series (AP) Calculator (nth Term & Sum)
Calculate the nth term (aₙ), sum of the first n terms (Sₙ), common difference (d), and series mean for any arithmetic progression progression.
Calculator Inputs
Live Real-TimeValue of the nth Term (aₙ)
Sum of First n Terms (Sₙ)
820 sum
Arithmetic Mean of Series
41 mean
Total Range (aₙ - a₁)
76 span
Linear AP Progression: Constant difference d yields exact deterministic nth term calculations.
Arithmetic Progression Summary
Detailed Calculation Breakdown
Calculation Methodology
nth Term: aₙ = a₁ + (n - 1)d. Sum of Series: Sₙ = (n / 2) * (a₁ + aₙ) = (n / 2) * [2a₁ + (n - 1)d]. Series Average = (a₁ + aₙ) / 2.
Important Legal & Educational Disclaimer
This discrete math algebra tool computes linear arithmetic sequence and series properties.
This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.
Frequently Asked Questions
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