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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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?

Similar Questions

$\frac{3}{5}$ th of $24 \%$ of $500 - 32 = ?$

$46818 + 34484 - 24642 - 21232 = ?$

If $34N$ is a two-digit number divisible by $11$,then what is the value of $N$?

On dividing a number by $5$,we get $3$ as the remainder. What will be the remainder when the square of this number is divided by $5$?

$3 \frac{6}{7} + 6 \frac{1}{4} - 5 \frac{1}{3} + 2 \frac{1}{2} = ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module