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Question

What is the arithmetic mean of first n natural numbers?


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Solution

Arithmetic Mean: An arithmetic mean is the ratio of the sum of the numbers to the total number of numbers.

The first n natural numbers are: 1,2,3,4,5,....,n

We know that, the sum of the first n natural numbers =nn+12

So, the arithmetic mean of first n natural numbers is,

arithmeticmean=nn+12n

arithmeticmean=nn+12n

arithmeticmean=n+12

Hence, the arithmetic mean of first n natural numbers is n+12.


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