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The conclusion follows unavoidably true from the hypothesis.
'P if, and only if, Q.'
The 'then ___' part of the if-then statement.
The 'if___' part of the if-then statement.
'If___, then ____' statement. Implication is the same as conditional statement.
Connecting two statements together using the word 'and'.
A table used to show all possible true-false patterns for statements.
Words that refer to one or more, or possibly all, of the elements in a set; some, and there exists at least one.
Words that refer to each and every element in a set; all, every, and no.
A statement with the opposite truth value of the given statement.
1, 1, 2, 3, 5, 8, 13, 21,...,
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.
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.