A geometric sequence is a sequence in which each term is the same multiple r of the previous term. (a) Give four different examples of a geometric sequence. For each one, make the first term equal to 1 but use a different value of r. Make sure you vary your choices of r to be wildly different kinds of numbers. (b) There are infinitely many possible choices for r. Which value(s) of r will result in a sequence that converges? Explain your reasoning.

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