✖️ 等比数列生成器Geometric Sequence Generator
输入首项、公比和项数，生成等比数列，并计算第 n 项、前 n 项和与无穷级数和（|r|<1 时）。Generate a geometric sequence from the first term, ratio and count, with the nth term, partial sum and infinite sum (when |r| < 1).
使用说明与常见问题How-to & FAQ
「等比数列生成器」是什么？What is the Geometric Sequence Generator tool?
输入首项、公比和项数，生成等比数列，并计算第 n 项、前 n 项和与无穷级数和（|r|<1 时）。Generate a geometric sequence from the first term, ratio and count, with the nth term, partial sum and infinite sum (when |r| < 1).
如何使用「等比数列生成器」？How do I use the Geometric Sequence Generator tool?
在「等比数列生成器」中，填写「首项 a₁」、「公比 r」、「项数 n」、「分隔符」等参数，结果会随输入实时计算并显示在下方。In the Geometric Sequence Generator: Fill in "First term a₁", "Common ratio r", "Number of terms n", "Separator"; results are recalculated instantly as you type.
计算精度如何？How precise are the results?
「等比数列生成器」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Geometric Sequence Generator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「等比数列生成器」免费吗？需要注册吗？Is the Geometric Sequence Generator free? Do I need an account?
「等比数列生成器」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Geometric Sequence Generator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.