Python 为收敛到pi定义错误列表

我是python新手，我正试图基于一个定义的术语，对一系列向pi的收敛进行建模。我已经创建了一个列表，在每次迭代时返回pi的近似值，但是，我正在努力创建一个列表，返回pi和math.pi的近似值之间的差值。我知道代码目前只是循环一个pi值的错误项，我不知道如何循环n个pi值。我相信这是一个简单的修复，我只是忽略了，所以任何帮助将不胜感激。 这是我的密码：

from math import pi
from math import factorial

def term_in_series_1(n):
    values=[] 
    for k in range (n, -1,-1): #Here we are creating a for loop starting at n, finishing at -1 with a stepsize of -1
        value_of_term_n = 2 * 2**k * (factorial(k))**2 / factorial(2*k+1) #The loop uses this equation to calculate the value term of n for values in the range of n 
        values.append(value_of_term_n) #The append function allows each new value term of n to be added to the empty list "values" with length n
    return values

def series_1(n):
    approximation_for_pi = sum(term_in_series_1(n)) #This line is taking the sum of all the values in the series calulated in the previous function
    return approximation_for_pi

def error_1(j):
    values=[] 
    for i in range (j):
        for k in range (n):
            value_of_error_1 = pi - series_1(n) #The loop uses this equation to calculate the value term of n for values in the range of n 
            values.append(value_of_error_1) #The append function allows each new value term of n to be added to the empty list "values" with length n
        return values
error_1(15)

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此代码似乎是问题所在：

for i in range (j):
    value_of_error_1 = pi - series_1(n)

您有一个迭代变量

i

，但不知从何处引用

n

。假设迭代变量应该是

n

，下面是对代码的修改：

from math import pi, factorial

def term_in_series_1(n):
    values = []

    for k in range(n, -1, -1):
        value_of_term_n = 2 * 2**k * factorial(k)**2 / factorial(2*k+1)
        values.append(value_of_term_n)

    return values

def series_1(n):
    return sum(term_in_series_1(n))

def error_1(j):
    errors = []

    for n in range(j):
        errors.append(pi - series_1(n))

    return errors

print(error_1(10))

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请提供预期的（MRE）。我们应该能够复制和粘贴一个连续的代码块，执行该文件，并再现您的问题以及跟踪问题点的输出。这让我们可以根据您的测试数据和期望的输出来测试我们的建议。这不应该作为一个输入错误来结束吗？我同意Barmar。