When `n` number of particles each of mass `m` are at distances `x_(1)=1, x_(2)=2, x_(3)=3, ………., x_(n)=n` units from origin on the x-axis, then find the distance of their centre of mass from origin.

Explanation

To find the distance of the center of mass of `n` particles, each of mass `m`, located at distances `x_1 = 1, x_2 = 2, x_3 = 3, ..., x_n = n` from the origin on the x-axis, we can follow these steps:

### Step 1: Understand the Position of Each Particle
Each particle is located at a distance from the origin on the x-axis. The positions are:
- Particle 1: \( x_1 = 1 \)
- Particle 2: \( x_2 = 2 \)
- Particle 3: \( x_3 = 3 \)
- ...
...