数列求和的那个符号(有点像E那个)的详细含义及几个角标的意思?

2025-03-23 21:55:12
推荐回答(5个)
回答1:

我来帮你将这个求和符号打一下:∑。
我来解释一下,下面通常写成i=1,意思是指从1开始求和
上面通常是n,指求和一直到n
举一个具体的例子,将更有助于你的理解。
比如说∑(ai)(下标是i=1,上面是n),那么这个结果就是:
a1+a2+a3+…+an
再举一个例子∑(a^i)(下标是i=5,上面是10),那么这个结果就是:
a^5+a^6+a^7+a^8+a^9+a^10.

现在你应该懂了吧?如果不懂,欢迎你继续通过短消息向我提问,我是老师,我会有耐心、有经验答复你的提出的任何问题,谢谢。

回答2:

∑叫做西格玛,求和符号,表示累项相加,
n
∑ai=a1+a2+a3+...+an。
i=1
下面的i=1.
“i”表示通项公式中i是变量,随着项数的增加而逐1增加
“1”表示从i=1时开始变化,
上面的“n”表示加到i=n,
“ai”是通项公式。


∑ai=a1+a2+a3+........,∞表示无穷大,前式子表示无限项求和。
i=1

类似的符号还有∏,,读派,即π的大写、是求积符号,累项相乘。格式和∑一样,下面表示起始值,上面是终止值,如:
n
∏ai=a2*a3*a4*...*an
i=2

回答3:

∑叫做西格玛,求和符号,表示累项相加,也叫合计。

意义: 合计,求和---同类数字的和!!!。

例:考试成绩x:语x1=20,数学x2=30,物理x3=40

一般写成以下三种形式中任意一种:

3
总分:∑x=∑xi=∑xi=x1+x2+x3=20+30+40
i=1

显然x,xi 代表类别 ;上下标只是准确指出范围;如果不要上下标显然表示你描述问题中所有同类数。

注意: 一般x,y习惯是变量,表示某类数字没有问题。
但是数列a(n)求和
1:写成∑a不好,因为平时习惯a是常数.
2:写成∑a(n)也不好 ,因为要区别:


∑ai=a1+a2+a3+........,∞表示无穷大,前式子表示无限项求和。
i=1

n
ai=a1+a2+a3+...+an
i=1

数学公式书写没有完全固定格式
就象说话一样要和习惯上下文联系
比如:我去晒太阳
显然我们不会理解成把太阳拿出来晒
如果换种说法:让阳光照在我们的身上。
这很准确没有歧义,但是不合习惯,显然就成骚包了。

所以:数学语言,数学符号也是如此,只有了解了它在各处和写法习惯,就知道怎么写比较简洁符合自己习惯和符合大家的习惯

回答4:

就是希腊字母∑
∑下面是起始值,上面是终止值,右边是累加表达式
例如:
n
∑ i² = 1² + 2² + 3² +...+ n²
i=1
很多情况下
终止值是∞
表示无穷数列

回答5:

累加符号 根据表达式把每项累加起来
底下那个是起始值 上面那个是终止值

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