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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 diverges to infinity. **(c)** The sum grows ever smaller. **(d)** The sum converges to a finite term.

**2. What is true about prime numbers?**
**(a)** Prime numbers are not divisible by other numbers. **(b)** Prime numbers can not exist in a finite series. **(c)** That for every group of prime numbers, there exists at least one more prime. **(d)** Prime numbers can never be an odd number.

**3. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?**
**(a)** Euclid constructed squares on the sides of right triangles. **(b)** Euclid used propositions about similar angles and parallel lines. **(c)** Euclid used his own axioms and propositions to show relationships, **(d)** Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.

**4. What else, besides a solution to cubic equations, was in Cardano's book?**
**(a)** A proof of the Pythagorean Theorem. **(b)** An alegrabic solution to quintic equations, **(c)** A solution to quartic equations. **(d)** A suggested method to depress all complex geometry.

**5. What provided most of the content in the book Elements?**
**(a)** Hypotheses. **(b)** Postulates. **(c)** Propositions. **(d)** Notions.

## Short Answer Questions

**1.** Who was Heron?

**2.** What is a "depressed cubic"?

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

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

**5.** Which of the following was NOT true about Archimedes, according to Dunham?

This section contains 393 words(approx. 2 pages at 300 words per page) |