1. Let Ｔn = ( n^2 + 1 )( n ! ) for any positive integer n.
Prove, by mathematical induction, that
Ｔ1+Ｔ2 + ... + Ｔn =n [ (n + 1) ! ]
for all positive integer n .
（ＨＫＣＥＥ １９９７）
2. Prove, by mathematical induction, that
1 x 2 + 2 x 3 + 2^2 x 4 + ... 2^n-1 x ( n + 1 ) = 2^n (n)
for all positive integer n .
（ＨＫＣＥＥ １９９８）
a．maths mathematical induction
2007-08-27 11:20 pm
回答 (1)
2007-08-27 11:51 pm
參考: My Maths knowledge
收錄日期: 2021-04-25 14:04:36
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