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This quiz consists of 5 multiple choice and 5 short answer questions through The Bernoullis and the Harmonic Series.

## Multiple Choice Questions

**1. What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?**
**(a)** The sum converges to infinity. **(b)** The sum grows ever smaller. **(c)** The sum diverges to infinity. **(d)** The sum converges to a finite term.

**2. Which of the following becomes an important definition in mathematics that was first presented in Elements?**
**(a)** Intersection. **(b)** Parallel line. **(c)** 180 degree angle. **(d)** Circle.

**3. What was true about Hippocrates's proof?**
**(a)** It was fairly easy and simple. **(b)** It was useful for circles. **(c)** The proof was exceedingly difficult and not understood at the time. **(d)** The proof was easy if their was advanced technology available.

**4. In his later life, what position did Isaac Newton hold?**
**(a)** Warden of the Mint. **(b)** Principle science advisor to Charles II. **(c)** Angelican father. **(d)** Professor of philosophy in Paris.

**5. Where does the center of mathematical thinking shift to after Italy?**
**(a)** To Britian and Scotland. **(b)** To Turkey and Russia. **(c)** To France and Britian. **(d)** To Germany and Russia.

## Short Answer Questions

**1.** In the Bernoulli's time, what was the current definition of a series?

**2.** Where was Archimedes born?

**3.** Where did Hippocrates come from?

**4.** What did Dunham claim about Archimedes's determination of a number value for pi?

**5.** Who acted as the gate keepers of knowledge?

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