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Q. The mean of the first $(n + 1)$ natural numbers is

Statistics

Solution:

Sum of first $n$ natural numbers $= \frac{n\left(n+1\right)}{2}$
$\therefore $ Sum of first $\left(n + 1\right)$ natural numbers $= \frac{\left(n+1\right)\left(n+2\right)}{2}$
$\therefore $ Mean $= \frac{\left(n+1\right)\left(n+2\right)}{2\left(n+1\right)} = \frac{n+2}{2}$