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MC III Help

 
 
ZhangCharles的头像
MC III Help
ZhangCharles - 2021年06月30日 Wednesday 16:43
 

I'm not sure how to do questions 2.14, 2.32, and 2.34; could the instructor(s) please give out some hints?


Thank you.

 
WangDr. Kevin的头像
Re: MC III Help
WangDr. Kevin - 2021年06月30日 Wednesday 17:35
 

2.14 and 2.34 are similar; consider the Binomial Theorem, and how you can prove $$\binom{n}{0} + \binom{n}{2} + \binom{n}{4} + \cdots = 2^{n-1},$$ and do something similar.

For 2.32, you may combine these two sums into one complex number: the first sum is the real part and the second sum is the imaginary part.

ZhangCharles的头像
Re: MC III Help
ZhangCharles - 2021年07月2日 Friday 11:32
 

Thank you, professor!