Welcome to My New Blog

Welcome!

This is the very first post on my blog. I’ve built this site using Astro, a modern web framework that makes building fast websites easy.

Why Astro?

Astro is great because:

• It ships zero JavaScript by default.
• It has a great developer experience.
• It’s highly extensible.

C++ Example

Here’s a small C++ “Hello World” you can try locally:

#include <iostream>

int main() {
	std::cout << "Hello, world!\n";
	return 0;
}

Compile and run:

g++ -std=c++17 hello.cpp -o hello
./hello

Stay tuned for more updates!

Arithmetic Progression (AP)

An arithmetic progression is a sequence where each term differs from the previous by a constant $d$, called the common difference.

The $n$-th term is:

$$a_n = a_1 + (n - 1)d$$

The sum of the first $n$ terms is:

$$S_n = \frac{n}{2}\bigl(2a_1 + (n-1)d\bigr) = \frac{n}{2}(a_1 + a_n)$$

For example, the AP $2, 5, 8, 11, \ldots$ has $a_1 = 2$ and $d = 3$, so its 10th term is $a_{10} = 2 + 9 \times 3 = 29$ and the sum of the first 10 terms is $S_{10} = \frac{10}{2}(2 + 29) = 155$.