Question

Find the average of first 100natural.numbers formula

Answer 1

Sum of First n natural numbers = n(n+1)/2
Hence sum of 100 no.
100*101/2 = 5050
Average = 2525

Answer 2

Answer:

We know that the sum of first 'n' natural numbers is defined as n(n+1)2. ⇒ Arithmetic mean of first 100 natural numbers = 100×(101)2100. Arithmetic mean of first 100 natural numbers = 50.5. So, we have found the arithmetic mean of the first 100 natural numbers as 50.5.

The average of first 100 natural numbers is how much times of average of next 100 natural numbers

sum of 1st n numbers is n(n+1)/2.

" " " 100 '" " " " "100(101)/2=5050.

average of 1st 100 numbers is 5050/100=50.5.

Similarly sum of next 100 numbers is 15050.

average of these numbers is 15050/100=150.0.

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