1+2.......1000=? Plz come in!
回答 (12)
2006-11-11 12:09 am
✔ 最佳答案
As you know :1 + 1000 = 1001
2 + 999 = 1001
3 + 998 = 1001
如此類推
500 + 501 = 1001
1+2........+1000, 共有 500 個這樣的組合 (1000 除 2)
So, 1+2+3+.........1000
= 1000 (1+1000) / 2
= 500 500
2006-11-12 1:06 am
這是一題三角型數
``1+1000
------------- x 1000
`````2
=`1001x1000
``-----------------
`````````2
=1001x500
=500500
``1+1000
------------- x 1000
`````2
=`1001x1000
``-----------------
`````````2
=1001x500
=500500
參考: 因yahoo!不能在此使用多過一個的連續speca bar, 所以我用不大花巧的符号`代替了
2006-11-11 4:54 am
(1+1000)x1000/2
=1001x500
=500500
公式：(頭項+尾項)x項數/2
=1001x500
=500500
公式：(頭項+尾項)x項數/2
2006-11-11 12:54 am
Ans 5050
2006-11-11 12:25 am
=500500
2006-11-11 12:10 am
1+2.....1000
= (1 + 1000) + 92 + 999) + (3 + 998) + ... + (500 + 501) ...................(500 terms)
= 1001 + 1001 + 1001 + ... + 1001 .......................(500 terms)
= 1001 x 500
= 500,500
= (1 + 1000) + 92 + 999) + (3 + 998) + ... + (500 + 501) ...................(500 terms)
= 1001 + 1001 + 1001 + ... + 1001 .......................(500 terms)
= 1001 x 500
= 500,500
參考: myself
2006-11-11 12:02 am
(1+1000)*1000/2=500500
[(1st term+last term)*no. of terms/2]
[(1st term+last term)*no. of terms/2]
2006-11-11 12:01 am
1+999+2+998+3+997+4+996+5+995.......1000
= 500x1000
= 500,000
= 500x1000
= 500,000
2006-11-10 11:58 pm
Answer = (1 + 1000) * 1000 / 2 = 500500
收錄日期: 2021-04-12 22:11:47
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20061110000051KK01965