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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 was NOT true about Archimedes, according to Dunham?
(a) His death was described as being by the hands of a Roman invader.
(b) Archimedes died because he refused to follow orders until he completed a math problem.
(c) He died during the fall of Syracuse.
(d) He died as a soldier.

2. What instruments did the Greeks use to square a shape?
(a) A sphere and ruler.
(b) A pendulum.
(c) A compass and a ruled straight-edge.
(d) A small grid.

3. What was described as true about the series 1 + 1/2 + 1/6 + 1/10 + 1/15 + 1/21?
(a) It's a divergent series with a sum of 2.
(b) It's a convergent series of triangular numbers.
(c) It's a convergent series of cubic numbers.
(d) It's a divergent series squared numbers.

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

5. Which of the following was NOT one of the basic definitions in Elements?
(a) Line.
(b) Straight Line.
(c) Right angles.
(d) Parabola.

Short Answer Questions

1. According to Euclid, when is a triangle a right triangle?

2. What was Hippocrates's great advance to mathematics?

3. Who was Eratosthanes?

4. That properties of specific shapes were early Egyptians aware of?

5. Which of Euclid's postulates troubled many of the following generations of mathematicians?

(see the answer key)

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