Geometric Sequence Calculator
Calculate sequences, series expansions, convergence tests, and nth terms step by step for Geometric Sequence.
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Sequence Inputs
Enter initial term and common difference/ratio.
Calculated Sum (Sₙ)
100.00
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Sequence Tip
The sum of an arithmetic sequence is given by Gauss's formula: Sₙ = (n / 2) × (a₁ + aₙ).
Calculation Methodology & Details
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Methodology
Sₙ = (n / 2) × [2a₁ + (n - 1)d]
Uses exact analytical sequence and series formulas.
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Important Disclaimer
Calculations serve educational study and mathematical series validation.