Even Endless Sums Can End
by Anonymous · ⭐ 0 · 🍴 0
Build arithmetic and geometric sequences by hand, see how one common ratio decides convergence, divergence, or oscillation, and explore infinite geometric series whose sums stay finite.
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About this app
An interactive high-school math app for exploring arithmetic and geometric sequences and infinite geometric series. Build sequences by adjusting the first term and step or ratio, then observe how the ratio determines convergence, divergence, or oscillation. Finally, add geometric terms one by one and compare the partial sum with the finite limit a ÷ (1 − r) when |r| < 1.
Use cases
- High-school students learning sequences, limits, and series
- Teachers demonstrating arithmetic versus geometric growth
- Learners investigating convergence, divergence, and oscillation
- Practice with infinite geometric series and partial sums
Features
- Interactive arithmetic and geometric sequence builder
- Adjustable first term, common difference, and common ratio
- Geometric-sequence limit exploration with selectable term count
- Visual demonstrations of convergence to zero, divergence, constant terms, and oscillation
- Infinite geometric-series partial sums with a displayed limit line
- Guided missions covering sequence behavior and target sums