1+2+3+4+5+6+7+8+9+10+......+998+999+1000(10)

2007-05-25 6:44 pm
1+2+3+4+5+6+7+8+9+10+......+998+999+1000(10)

回答 (10)

2007-05-26 3:29 am
因為
(首項+末項)*項數/2
在此式中
首項=1
末項=1000
項數=1000
所以
(1+1000)*1000/2
=1001*1000/2
=1001000/2
=500500
答案是500500
2007-05-26 1:19 am
500500
2007-05-25 7:46 pm
(1+1000)/2x1000
=1001/2x1000
=500.5x1000
=500500
參考: myself
2007-05-25 7:42 pm
連乘既公式:

(頭+ 尾) *項
------------------ , 頭 = 第1個頭, 尾 = 最尾個數, 項= 有幾多個number
2


try it out!!!

2007-05-25 11:43:13 補充:
顯示好怪, 再寫過[ (頭+ 尾) *項 ] /2 頭 = 第1個頭, 尾 = 最尾個數, 項= 有幾多個number
2007-05-25 7:36 pm
(1 + 1000) X 1000
_______________ + 9000
2
= 1001 x 500 +9000
= 509500
參考: self
2007-05-25 7:05 pm
只要用這項formula, 答案就可找出!

(1 + 1000) X 1000 除2

= 1001 x 500
= 500500!
參考: me!
2007-05-25 7:04 pm
(1+1000)/2x1000
=1001/2x1000
=500.5x1000
=500500
2007-05-25 7:02 pm
由於1,2,3,4,5,6,7,8,9,10,...,998,999,1000是等差數列
所以公差是2-1=1
所以1+2+3+4+5+6+7+8+9+10+......+998+999+1000
=(1000/2)(2x1+(1000-1)(1))
=500(2+999)
=500x1001
=500500
2007-05-25 6:49 pm
500500
2007-05-25 6:47 pm
50500


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