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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. Which of the following demonstrates the successive squared denominator series?**
**(a)** 1 + 1/2 + 1/6 + 1/10 + 1/15 . . . **(b)** 1 + 1/2 + 3/4 + 4/5 . . . **(c)** 1 + 1/2 + 1/3 + 1/4 + 1/5 . . . 1/1000 . . . **(d)** 1 + 1/4 + 1/9 + 1/16 . . .

**2. Where was Archimedes born?**
**(a)** Athens. **(b)** Rome. **(c)** Sicily. **(d)** Olympia.

**3. What were the proofs in Elements based on?**
**(a)** Novel notions. **(b)** Basic definitions. **(c)** Ancient greek geometry. **(d)** Lindeman's method.

**4. What did Dunham consider as Archimedes's "masterpiece"?**
**(a)** Archimedes' work on determining a number value for pi. **(b)** Archimedes' work on shperes, cones, and cylinders. **(c)** Archimedes' work on determining angular measurements. **(d)** Archimedes' work on volume to surface area ratios.

**5. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?**
**(a)** Perfect number. **(b)** Even number. **(c)** Nominal number. **(d)** Composite number.

## Short Answer Questions

**1.** What did British scholars accuse Leibniz of?

**2.** Where does the center of mathematical thinking shift to after Italy?

**3.** What was known about pi, during Archimedes' time?

**4.** Which phrase best describes Newton as a student at Cambridge?

**5.** Who wrote a treatise that supposed that cubic equations may be impossible to solve?

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