數學證明題!越簡短越好!

2007-11-17 5:43 am
證明2+2^2+2^3+...+2^n<2^(n+1)

回答 (1)

2007-11-17 5:52 am
✔ 最佳答案
LHS = 2+2^2+2^3+...+2^n
=2[2^n - 1]/(2-1) [**Sum of geometric sequence]
= 2^(n+ 1) - 2
< 2^(n+1)


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