Find the weighted arithmetic mean of the first ‘n’ natural numbers, the weights being the corresponding numbers.

A

$$\frac{\left\{n(n+1)(2n+1)\right\}}{6}$$

B

$$\frac{\left\{n(n+1)\right\}}{2}$$

C

$$\frac{(2n+1)}{3}$$

D

$$n$$