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Difference of first 500 even and first 500 odd numbers?
What is the difference between the first 500 even and first 500 odd numbers? Is there an exact formula (with like n's and stuff) that I can use?
5 Answers
- Anonymous1 decade agoFavourite answer
JB is correct. Every even number on your list is paired with an odd number that is one less than it. There are 500 such pairs, so if you add every even number and subtract all the odd numbers, you get 500. Unless you're starting the count at zero. Then the difference is still 500 but the evens are now less by 500.
- JBLv 71 decade ago
(2-1) + (4-3) + (6-5) + ... + (1000-999) = 1 + 1 +1 + ... + 1.
There are 500 ones being added, so the answer is 500.
- gooberLv 71 decade ago
each even number is one more than the odd number.
odd even
1---------2
3---------4
so the difference is 500 with the even numbers being larger.
- not an android.Lv 41 decade ago
summation formulas should help
[sum (i = 1:500) 2i] - [sum (i = 1:500) 2i-1]
