Whoa!! Solve this without a calculator!!

Number Theory Level 2

Find the Average of the first 1092847363 natural numbers.

Its Easier than it looks . #dontpanic


The answer is 546423682.

Mehul Arora by Mehul Arora , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Mehul Arora
Nov 21, 2014

The average of the first n numbers is n+1/2

Therefore the average of the first 1092847363 numbers is

1092847363+1/2 Which is = 546423682

Easy:)

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Sometimes trying to be over intelligent leaves you at wrong place. I was counting 0 as natural number.

Tushar Pandeya - 5 years, 8 months ago

nice meeting u buddy today.by the way which class do u presently study in.

Kaustubh Miglani - 5 years, 6 months ago
Bob Wealse
Nov 21, 2014

Ok, so there are 1092847363 numbers, so if I were to add the first term and the last term (1 + 1092847363) I would get 1092847364. If I repeated this method for the second term and the second to last term, I would get 1092847364 as well, and thus would continue on while adding the third term and third to last term. This would lead me to have 1092847363/2 pairs of 1092847364, which would simply be divided by 1092847363 (to find the average), and after simplifying, I would receive 546423682 as my answer.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...