Question 71

What is the Arithmetic mean of the first ‘n’ natural numbers ?

Solution

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Arithmetic Mean = $$\frac{Sumof Elements}{NumberofElements}$$

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

Arithmetic Mean of first n natural numbers = $$\frac{n(n+1)}{2\times n}$$ = $$\frac{n+1}{2}$$

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