What is the Arithmetic mean of the first n na | vedclass

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(A) The first $n$ natural numbers are $1, 2, 3, \dots, n$.The sum of the first $n$ natural numbers is given by the formula $S_n = \frac{n(n+1)}{2}$.Th

Vedclass · Accepted Answer

$\frac{n+1}{2}$

Vedclass · Answer

(A) The first $n$ natural numbers are $1, 2, 3, \dots, n$.The sum of the first $n$ natural numbers is given by the formula $S_n = \frac{n(n+1)}{2}$.The Arithmetic Mean $(A.M.)$ is defined as the sum of the observations divided by the number of observations.Therefore,$A.M. = \frac{S_n}{n} = \frac{\frac{n(n+1)}{2}}{n} = \frac{n+1}{2}$.

What is the Arithmetic mean of the first $n$ natural numbers?

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