Module 3 Lesson 1 Flashcard

Front

How would you describe the pattern's rule for the sequence: 65, 62, 59, 56, 53, 50?

Back

Subtract 3.

Front

To fully disprove a conjecture, how many counterexamples are needed?

Back

Only ONE counterexample.

Front

What is the midpoint between the points (-4,4) and (-2,2)?

Back

(-3,3).

Front

What does Inductive Reasoning mean?

Back

Testing and observing patterns to make conjectures.

Front

What is a counterexample for the statement: Any number divisible by 2 is divisible by 4?

Back

10÷2.

Front

What is the definition of a conjecture?

Back

A conjecture is a statement that is believed to be true but has not been proven.

Front

What is the formula for finding the midpoint between two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the difference between deductive and inductive reasoning?

Back

Deductive reasoning starts with general statements and deduces specific conclusions, while inductive reasoning observes specific instances to form general conclusions.

Front

What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a particular pattern.

Front

What does it mean for a number to be divisible by another number?

Back

A number is divisible by another if dividing them results in a whole number with no remainder.