數列與級數

看數字模式在圖上變成跳動的點

數列是按照規律排列的數字列表。等差數列如 1, 3, 5, 7, 9, ...。等比數列如 2, 4, 8, 16, 32, ...。把各項加起來得到級數。有些級數收斂，如 1 + 1/2 + 1/4 + ... = 2。

相關主題

一次方程式指數增長與衰減什麼是函數？

Suggested Lessons

Slope Quadratic Equations Unit Circle Word Problems
什麼是數列？
按規則排列的有序數字列表。每個數叫一個項。
等差數列和等比數列的區別？
等差每次加公差 d。等比每次乘公比 r。等差→直線，等比→指數曲線。
什麼是級數？
數列各項的和。前 n 項的和叫部分和。
什麼是收斂？
部分和趨向有限數則收斂，無限增長則發散。
What can it graph?
It can plot explicit, implicit, and parametric functions, add points and geometry, and animate sliders on the same graph.
Can I use voice or a photo?
Yes. You can talk to the tutor, upload a worksheet or handwritten problem, and let the graph update from that input.
Will it explain the steps?
Yes. The AI explains what it is drawing and why, so you see the answer on the graph instead of getting only a final number.