python数列求导

要计算数列的导数，可以使用差分法或符号法。下面是使用差分法计算数列的导数的示例代码：

def difference(sequence):
    n = len(sequence)
    diff = [sequence[i+1] - sequence[i] for i in range(n-1)]
    return diff

# 示例数列
sequence = [1, 3, 6, 10, 15]

# 计算导数
derivative = difference(sequence)
print(derivative)

输出结果为：`[2, 3, 4, 5]`，表示数列的导数为 `[2, 3, 4, 5]`。

你也可以使用符号法来计算数列的导数。假设数列为 `a0, a1, a2, ...`，那么导数可以通过递推式 `d_i = a_i+1 - a_i` 来计算。下面是使用符号法计算数列导数的示例代码：

def derivative(sequence):
    n = len(sequence)
    diff = [sequence[i+1] - sequence[i] for i in range(n-1)]
    return diff

# 示例数列
sequence = [1, 3, 6, 10, 15]

# 计算导数
derivative = derivative(sequence)
print(derivative)

输出结果同样为 `[2, 3, 4, 5]`。

希望能帮到你！如果有其他问题，请随时提问。