|Name: _________________________||Period: ___________________|
This quiz consists of 5 multiple choice and 5 short answer questions through The Extraordinary Sums of Leonhard Euler.
Multiple Choice Questions
1. Who wrote a treatise that supposed that cubic equations may be impossible to solve?
(a) Scipione del Ferro.
(b) Luca Pacioli.
(c) Niccolo Fontana.
(d) Gerolamo Cardano.
2. What didn't Euler attempt?
(a) A series where exponents are odd.
(b) A series where exponents are even.
(c) A series of sequencially smaller terms.
(d) A series starting with the number 1.
3. Who was Neil's Abel?
(a) He demonstrated the modern version of the Pythagorean Theorem.
(b) He proved that quintic equations cannot be solved using algebra.
(c) He proved that to solve a quartic equation, one must use more than algebra.
(d) He demonstrated that Cardano's solution to the cubic was incorrect,
4. Which of the following best describes Cardano's character?
5. What series was Euler most famous for?
(a) 1 + 1/2 + 3/4 + 4/5 . . .
(b) 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .
(c) 1 + 1/4 + 1/9 + 1/16 . . . + 1/k² . . .
(d) 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . .
Short Answer Questions
1. Who was del Ferro's student?
2. What else, besides a solution to cubic equations, was in Cardano's book?
3. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?
4. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?
5. Which of the following is true in modern math about twin primes?
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