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Question: 1/ what is the sum of all numbers between 1 and 1000?


Answers: 1/ what is the sum of all numbers between 1 and 1000?

499499

49999

500,500

?

1.998

500500

499,999

There's a trick to figuring this out quickly.

For each number between 1 and 499 there is a corresponding number between 501 and 999 which, when added together, equals 1000.

For example:

1 + 999 = 1000
2 + 998 = 1000
...
499 + 501 = 1000

Now, there are 499 pairs like that. Add them together and you get 499,000

Add to that 1000 and 500, and you get 500,500, which is your total.

a big number
1000 times 499 plus 1000 plus 500
wtvr that is
500500

1000

s=n/2(a+l)
=>s=1000/2(1+1000)=500*1001=500500
Took me 15 sec.
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