What is the sum of the natural numbers between 1 and 1000?

Question

What is the sum of the natural numbers between 1 and 1000?

Question #133729. Asked by Barbarini.
Last updated May 24 2023.
Originally posted Dec 03 2013 8:04 PM.

Related Trivia Topics: Sci / Tech

MiraJane
Answer has 7 votes

Currently Best Answer

MiraJane
12 year member
311 replies avatar

Answer has 7 votes.

Currently voted the best answer.

500,500

This explains how to figure it out without grabbing strangers to borrow their fingers and toes to count it out -

http://www.algebra.com/algebra/homework/Sequences-and-series.faq.question.497222.html

Response last updated by gtho4 on May 24 2023.
Dec 03 2013, 8:24 PM

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Answer 1

rudest
Answer has 7 votes

rudest

Answer has 7 votes.

500500 is right.
1000+1 = 1001
999+2 = 1001
998+3 = 1001
right down to
501+500 = 1001
so it's 500 x 1001
which is 500500

Dec 03 2013, 11:55 PM

Answer 2

This process is famously how Gauss managed to find the sum of the numbers 1 to 100 in seconds, when his grade school teacher had set the class what was expected to be a tedious sum to keep them busy for quite some time.

http://betterexplained.com/articles/techniques-for-adding-the-numbers-1-to-100/

What is the sum of the natural numbers between 1 and 1000?

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