1.suppose a,b are two positive real numbers and a is not equal to b
(a)prove that a^(n+1)-a^n．b>ab^n-b^(n+1)
(b)prove thart a^(n+1)>b^n[(n+1)a-nb]
(c)By using the result in (b),prove that (1+1/n)^n < [1+1/(n+1)]^(n+1)
2.prove that the cubes of the natural numbers beginning with 1 leave,when
divided by 6,the remainder 1,2,3,4,5,0 recurring in order.
20分!!!兩題mathematical induction
2010-08-27 11:27 pm
回答 (1)
2010-08-28 5:58 am
✔ 最佳答案
==============================================圖片參考：http://img841.imageshack.us/img841/94/51089177.png
圖片參考：http://img838.imageshack.us/img838/3734/80553799.png
2010-08-27 21:59:00 補充：
http://img841.imageshack.us/img841/94/51089177.png
http://img838.imageshack.us/img838/3734/80553799.png
收錄日期: 2021-04-23 23:23:12
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100827000051KK01003