保龄球球瓶排列方式就是一个三角数喔！ PS: 三角数即 『 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, ......』1 = 1. 1 + 2 = 3. 1 + 2 + 3 = 6. 1 + 2 + 3 + 4 = 10.

This is the Triangular Number Sequence: 1, 3, 6, 10, 15, 21, 28, 36, 45, ... It is simply the number of dots in each triangular pattern: find the next number of the sequence. The first triangle has just one dot. etc! How many dots in the 60th triangle? We can make a "Rule" so we can calculate any triangular number.

Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The n th triangular number is the number of dots in the triangular arrangement with n dots on each side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers, starting with the 0th triangular number, is

1、3、6、10、15、21、28、36、45 …… 便是下一个三角数。 有一个 "规则" 可以帮我们去求任何一个三角数。 用公式来求三角数是不是比慢慢数有多少个点容易多了？ 用简浅易明的语言解释数学，辅以迷题、游戏、测验、工作表和论坛。 适合幼幼儿园到高中的孩子、老师和家长。

2024年10月16日 · Triangular Numbers form a sequence of numbers that can be represented in the form of an equilateral triangle when arranged in a series. The triangular numbers list includes numbers 1, 3, 6, 10, 15, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, ... Here are some interesting facts about Triangular N

The triangular numbers are 1, 3, 6, 10, 15, 21, 28, 36, … The rule to find the triangular number in a series is: First term = 1. Second term = First term + 2. Third term = Second term + 3. Fourth term = Third term + 4 and so on. Examples on Triangular Numbers Pattern: 1. Find the next triangular number in the series 45, 55, … Solution:

2008年7月7日 · 1+3+6+10+15+21+28+36+n怎么求和阶差数列，差为2，3，4，5，6，。 直接套用公式就可以的。 这是二阶等差数列，用归纳法容易证明它的通项是一个关于n的二次多项式，求和式则是关于n的三次多项式。

2023年12月26日 · A triangular number is a number that can be expressed as the sum of the first n consecutive positive integers starting from 1. The numbers form a sequence: 1, 3, 6, 10, 15, 21…. which continues till infinity. In the triangular number sequence: The first number is 1; The second number is (1 + 2) = 3

These numbers are in a sequence of 1, 3, 6, 10, 15, 21, 28, 36, 45, and so on. The numbers in the triangular pattern are represented by dots. The sum of the previous number and the order of succeeding number results in the sequence of triangular numbers.

1+3+6+10+15+21+28+36…+n =1/2×1×2+1/2×2×3+...+1/2×n-1×n =1/2[1×2+2×3...+n-1×n] =n(n-1)(n+1)/6 数学解题方法和技巧。 中小学数学，还包括奥数，在学习方面要求方法适宜，有了好的方法和思路，可能会事半功倍！