## Online Course Discussion Forum

### MC III Help

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.

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.

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