c求数列前10项和1-1/4+1/7-1/……

这是一个交替级数，可以使用Leibniz公式求解。Leibniz公式表示为：

1 - 1/4 + 1/7 - 1/10 + ... = ∑((-1)^(n+1)/(3n-2))

其中，n取值从1到无穷大。根据Leibniz公式，我们可以计算前10项的和：

1 - 1/4 + 1/7 - 1/10 + 1/13 - 1/16 + 1/19 - 1/22 + 1/25 - 1/28

= 0.91529586

因此，数列前10项的和约为0.91529586。

相关问题

c求数列前10项和1-1/4+1/7-1/……的代码

这题可以用两种方法求解，一种是直接计算前10项的和，另一种是利用循环计算至满足某个条件为止。下面分别给出两种方法的代码示例：

方法一：直接计算前10项的和

#include <stdio.h>

int main() {
    double sum = 0.0;
    for (int i = 1; i <= 10; i++) {
        double term;
        if (i % 2 == 1) {
            term = 1.0 / (2 * i - 1);
        } else {
            term = -1.0 / (2 * i - 1);
        }
        sum += term;
    }
    printf("前10项的和为：%lf\n", sum);
    return 0;
}

方法二：利用循环计算至满足某个条件为止

#include <stdio.h>

int main() {
    double sum = 0.0, term = 1.0;
    int i = 1;
    while (term >= 1e-6) {
        if (i % 2 == 1) {
            sum += term;
        } else {
            sum -= term;
        }
        i++;
        term = 1.0 / (2 * i - 1);
    }
    printf("计算结果为：%lf\n", sum);
    return 0;
}

注意：在第二种方法中，我们设置了一个误差限为 $10^{-6}$，当当前项小于该误差限时，我们认为已经计算足够了，可以结束循环并输出结果。

C语言计算并输出数列1 –1/3 + 1/5 - 1/7 + 1/9 - 1/11 + …… + 1/101

LinearRegression is a class that inherits from the torch.nn.Module class in PyTorch. It is used to create a linear regression model that can be trained on a given dataset.

The LinearRegression class typically has two main methods:

1. __init__: This method is used to define the architecture of the linear regression model. It takes in the number of input features and output features and initializes the weights and biases of the model.

2. forward: This method defines how the input data is passed through the model to generate the output. It takes in the input data and applies a linear transformation to it using the weights and biases of the model. The output is then returned.

Overall, the LinearRegression class provides a convenient way to create and train a linear regression model in PyTorch.