Chapter 1 Terms Flashcards

1
Q

Inductive Reasoning

A
  • The process of reaching a general conclusion by examining specific examples
  • Specific -> General
  • ” Guess “
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2
Q

Conjecture

A
  • An educated guess

- The conclusion formed by inductive reasoning

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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
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4
Q

Counterexamples

A
  • One case for which a statement is not true
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5
Q

Deductive Reasoning

A
  • The process of reaching a conclusion by applying general assumptions, procedures, or principles
  • General -> Specific
  • “Therefore”
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6
Q

Logic Puzzles

A
  • Can be solved using:
    • Deductive Reasoning
    • A Chart
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7
Q

KenKen

A
  • Invented in Japan
  • 2004
  • “Ken” - knowledge or awareness
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8
Q

Sequence

A
  • An ordered list of numbers
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9
Q

Terms

A
  • The numbers in a sequence that are separated by commas
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10
Q

A(small n)

A
  • Designates the nth term of a sequence
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11
Q

Difference Table

A
  • Shows the difference between successive terms of the sequence
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12
Q

First Differences

A
  • The differences in row one of a difference table
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13
Q

Second Differences

A
  • The differences of the first differences in a difference table
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14
Q

Third Differences

A
  • The differences of the second differences in a difference table
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15
Q

nth - term formula

A
  • Generates the terms of a sequence
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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