When `'n'` number of particles of masses `m` are at distances `x_1 =a, x_2 =ar, x_3=ar^2…x_n = ar^n` ,units from origin on the X-axis, then find the distance of centre of mass of the system from origin.

Explanation

To find the distance of the center of mass of the system from the origin, we can follow these steps:

### Step 1: Identify the positions of the particles
The positions of the particles are given as:
- \( x_1 = a \)
- \( x_2 = ar \)
- \( x_3 = ar^2 \)
- ...
...