Chapter 1 Terms Flashcards
1
Q
Inductive Reasoning
A
- The process of reaching a general conclusion by examining specific examples
- Specific -> General
- ” Guess “
2
Q
Conjecture
A
- An educated guess
- The conclusion formed by inductive reasoning
3
Q
Galileo Galilee
A
- Used inductive reasoning
- Found the time required for a pendulum to make one full swing: the period of the pendulum
- Dependent upon the length of the pendulum
4
Q
Counterexamples
A
- One case for which a statement is not true
5
Q
Deductive Reasoning
A
- The process of reaching a conclusion by applying general assumptions, procedures, or principles
- General -> Specific
- “Therefore”
6
Q
Logic Puzzles
A
- Can be solved using:
- Deductive Reasoning
- A Chart
7
Q
KenKen
A
- Invented in Japan
- 2004
- “Ken” - knowledge or awareness
8
Q
Sequence
A
- An ordered list of numbers
9
Q
Terms
A
- The numbers in a sequence that are separated by commas
10
Q
A(small n)
A
- Designates the nth term of a sequence
11
Q
Difference Table
A
- Shows the difference between successive terms of the sequence
12
Q
First Differences
A
- The differences in row one of a difference table
13
Q
Second Differences
A
- The differences of the first differences in a difference table
14
Q
Third Differences
A
- The differences of the second differences in a difference table
15
Q
nth - term formula
A
- Generates the terms of a sequence
16
Q
Fibonacci Sequence
A
- A sequence of numbers
- Every number is the sum of the previous two numbers
17
Q
Recursive Definition
A
- One in which each successive term of the sequence is defined by using some of the recent terms
18
Q
George Polya
A
- Professor at Stanford University
- Developed a four-step problem-solving strategy
19
Q
Polya’s Four-step Problem-solving Strategy
A
- Understand the problem
- Devise a plan
- Carry out the plan
- Review the solution
