1. 1^2+3^2+5^2+......+(2n-1)^2 =n(4n^2-1)/3
2. -1+3-5+...+(-1)^n(2n-1)= (-1)^n n
3a. prove, by mathematical induction, that
1．2+3．4+5．６+.......+(2n-1)(2n)=n(n+1)(4n-1)/3
for all positive integers n.
3b. hence, find the values of
(i) １．２＋３．４＋５．６＋…＋９９．１００and
(ii) ５１．５２＋５３．５４＋５５．５６＋…＋９９．１００
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AMATHS MI題!!急!!
2007-09-10 4:52 am
回答 (1)
2007-09-10 5:25 am
✔ 最佳答案
As follows~~~圖片參考：http://i182.photobucket.com/albums/x4/A_Hepburn_1990/MI9.jpg?t=1189343458
圖片參考：http://i182.photobucket.com/albums/x4/A_Hepburn_1990/MI10.jpg?t=1189343750
圖片參考：http://i182.photobucket.com/albums/x4/A_Hepburn_1990/MI11.jpg?t=1189344297
參考: Myself~~~
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