What is 1+2+3+.....999+1000
Answers
Answered by
3
Hey dear!
Here is yr answer.....
=> 1+2+3+4+5.......+1000
=> n(n+1)/2
=> 1000(1000+1)/2
=> 1000(1001)/2
=> 500(1001)
=> 500500
Hope it hlpz...
Here is yr answer.....
=> 1+2+3+4+5.......+1000
=> n(n+1)/2
=> 1000(1000+1)/2
=> 1000(1001)/2
=> 500(1001)
=> 500500
Hope it hlpz...
Answered by
1
Heya here is your answer
The trick is to reorder everything. 1+2+3+4+5+...+1000 = 1 + 1000 + 2 + 999 + 3 + 998 + ...
= 1001 + 1001 + 1001 + 1001 + ...
There will be 500 of these because there will be 500 pairs because you pair 1 with 1000, 2 with 999, all the way up to pairing 500 with 501. Thus the answer is 500 * 1001 = 500500.
The trick is to reorder everything. 1+2+3+4+5+...+1000 = 1 + 1000 + 2 + 999 + 3 + 998 + ...
= 1001 + 1001 + 1001 + 1001 + ...
There will be 500 of these because there will be 500 pairs because you pair 1 with 1000, 2 with 999, all the way up to pairing 500 with 501. Thus the answer is 500 * 1001 = 500500.
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