(Boas, 2.10.31) Show that the sum of all the Nth roots of any complex number is zero. Hint: You should be able to show it analytically using partial sum of geometric series. Also geometrically, you should be able to at least make sense of this property by considering symmetries you see in the roots when you draw them in the complex plane.

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Q: 1. Use the fractal pattern to write the recursive and explicit formula. a. What is the pattern? List…

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Q: Show that any convergent sequence of complex numbers is bounded.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.