*Consecutive Sum*
Some numbers can be expressed as the sum of a string of consecutive positive numbers,
Exactly which numbers have this property?
1. What are the numbers have no consecutive sum? Odd or even integers? Is there anything to do with average?
2. Exactly How many solutions will it be?
3.How to determine the number of solutions? What is the Methodology?
4.Fn= ?
5. 1=, 2= 3=, 4=, 5=, 6=, 7=, 8=, 9=,10=,…
For example, observing that:
5=2+3
9=2+3+4 =4+5
11=5+6
18=3+4+5+6 =5+6+7
What are the consecutive numbers that sum to 30? 105=?
*连续总和*
有些数字可以表示为一串连续的正数之和,
究竟哪些数字具有此属性?
1. 没有连续和的数字有哪些? 奇数还是整数? 与平均值有什么关系吗?
2. 究竟有多少个解决方案?
3.如何确定解决方案的数量? 什么是方法论?
4.Fn= ?
5. 1=, 2= 3=, 4=, 5=, 6=, 7=, 8=, 9=,10=,...
例如,观察到:
5=2+3
9=2+3+4 =4+5
11=5+6
18=3+4+5+6 =5+6+7
总和为 30 的连续数字是什么? 105=?
Solutions
*Consecutive Sum*?
1. A number consists of at least one odd factor could be expressed as sum of consecutive numbers.
2. Therefore numbers 2 and all the power of 2 will not have consecutive Sum.
3. examples:
3=1+2
5= 2+3
6=1+2+3
7=3+4
9=4+5=2+3+4
......
*15=15x1=5x3=3x5*
15x1: ave=1
=-6-5-4-3-2-1+0+1+2+3+4+5+6+7+8
*=7+8*
5x3
=1+2+3+4+5
3x5
=4+5+6
30=3x10=5x6=15x2
=9+10+11
=4+5+6+7+8
*15x2*
=-5-4-3-2-1+0+1+2+3+4+5+6+7+8+9
=6+7+8+9
🙂🙂🙏🙏
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