Examine a Related Problem
Examine a Simpler Case
Make a Table
Identify a Subgoal
Make a Diagram
Guess and Check
Work Backward
Indirect Reasoning
Direct Reasoning
Write an Equation
Arithmetic
An arithmetic sequence is one in which each succesive term from the second term on is obtained from the previous term by the addition or subtraction of a fixed (constant) number.
Geometric
A geometric sequence is one in which each succesive term is obtained from its predecessor by multiplying by a fixed (constant) nonzero numer.This number is called a ratio.
Fibonacci Sequence
1, 1, 2, 3, 5, 8, 13, 21,...,
Negation
A statement with the opposite truth value of the given statement.
Quantifiers
Universal
Words that refer to each and every element in a set; all, every, and no.
Existential
Words that refer to one or more, or possibly all, of the elements in a set; some, and there exists at least one.
Truth Tables
A table used to show all possible true-false patterns for statements.
Compound Statement
Connecting two statements together using the word 'and'.
Equivalence
Conditional
'If___, then ____' statement. Implication is the same as conditional statement.
Implication
Hypothesis
The 'if___' part of the if-then statement.
Conclusion
The 'then ___' part of the if-then statement.
Biconditional
'P if, and only if, Q.'
Valid
The conclusion follows unavoidably true from the hypothesis.