2.1-2.3 Review (25-26)

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If P, then Q' is 'If Q, then P.'

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition.

Front

Identify the next item in the pattern: -3, 6, -12, 24, ...

Back

-48

Front

Find the next two terms in the sequence: 1, 3, 7, 15, 31, ...

Back

63, 127

Front

What must be true to write a biconditional statement?

Back

Both the conditional and its converse must be true.

Front

Define a conditional statement.

Back

A conditional statement is an if-then statement, expressed as 'If P, then Q.'

Front

What is a biconditional statement?

Back

A biconditional statement is true if both the conditional and its converse are true, expressed as 'P if and only if Q.'

Front

What is the difference between a conditional and a converse?

Back

A conditional states 'If P, then Q,' while the converse states 'If Q, then P.'

Front

Provide an example of a counterexample for the statement: 'If it is raining, then the ground is wet.'

Back

A counterexample could be a covered area where the ground is not wet despite it raining.

Front

What is the pattern in the sequence: 1, 2, 4, 8, ...?

Back

The pattern is that each term is multiplied by 2 to get the next term.