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This quiz consists of 5 multiple choice and 5 short answer questions through The Extraordinary Sums of Leonhard Euler.

## Multiple Choice Questions

**1. Which of the following could NOT be included as a step in Euclid's great theorem?**
**(a)** Divide a infinite group of primes by the sum of their composites. **(b)** If a new number is found to be composite, then it must have some prime as a divisor. **(c)** After summation, the new number can be prime or composite. **(d)** Take a finite group of primes and add them together, plus one.

**2. Who was del Ferro's student?**
**(a)** Antonio Fior. **(b)** Niccolo Fontana. **(c)** Gerolamo Cardano. **(d)** Luca Pacioli.

**3. Who was Neil's Abel?**
**(a)** He proved that quintic equations cannot be solved using algebra. **(b)** He demonstrated that Cardano's solution to the cubic was incorrect, **(c)** He demonstrated the modern version of the Pythagorean Theorem. **(d)** He proved that to solve a quartic equation, one must use more than algebra.

**4. What is a "depressed cubic"?**
**(a)** A method to logically square all the factors in a cubic equation. **(b)** A method to simpify the x squared value in a cubic equation. **(c)** A method to solve equations with two variables. **(d)** A method to simplify measuring complex geometric forms.

**5. Who asked Tartaglia for his solution to cubic equations?**
**(a)** Fior, **(b)** Cardano. **(c)** Fontana. **(d)** Pacioli.

## Short Answer Questions

**1.** What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

**2.** Which was true of Euclid's number theory?

**3.** Where was Neil's Abel from?

**4.** In general, what did Euclid's number theory describe?

**5.** When was Euler born?

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