From 90dbba3bfae9f8bb7b205e469bbae731d8642897 Mon Sep 17 00:00:00 2001
From: Hatter Jiang <jht5945@gmail.com>
Date: Wed, 20 Aug 2025 00:09:49 +0800
Subject: [PATCH] feat: add telescoping sum

---
 src/main/java/me/hatter/math/TelescopingSum.java | 15 +++++++++++++++
 1 file changed, 15 insertions(+)
 create mode 100644 src/main/java/me/hatter/math/TelescopingSum.java

diff --git a/src/main/java/me/hatter/math/TelescopingSum.java b/src/main/java/me/hatter/math/TelescopingSum.java
new file mode 100644
index 0000000..bf76348
--- /dev/null
+++ b/src/main/java/me/hatter/math/TelescopingSum.java
@@ -0,0 +1,15 @@
+package me.hatter.math;
+
+import java.math.BigDecimal;
+import java.math.RoundingMode;
+
+public class TelescopingSum {
+    // https://hatter.ink/static/resource/muboard/?id=telescoping-sum&version=latest&full=1
+    public static void main(String[] args) {
+        BigDecimal d = BigDecimal.valueOf(0);
+        for (long i = 1; i < 100000; i++) {
+            d = d.add(BigDecimal.ONE.divide(BigDecimal.valueOf(i).multiply(BigDecimal.valueOf(i + 1)), 100, RoundingMode.HALF_UP));
+        }
+        System.out.println(d);
+    }
+}