Multiplicative and Additive Patterns

Front

What is an additive pattern?

Back

An additive pattern is a sequence of numbers where each term is obtained by adding a constant value to the previous term.

Front

What is a multiplicative pattern?

Back

A multiplicative pattern is a sequence of numbers where each term is obtained by multiplying the previous term by a constant value.

Front

Example of an additive pattern: 2, 4, 6, ?

Back

8 (The pattern adds 2 each time.)

Front

Example of a multiplicative pattern: 3, 6, 12, ?

Back

24 (The pattern multiplies by 2 each time.)

Front

What does the equation y = 5x represent?

Back

It represents a multiplicative relationship where y increases by 5 times the value of x.

Front

What does the equation y = x + 5 represent?

Back

It represents an additive relationship where y increases by 5 for each increase in x.

Front

Identify the relationship: 10, 20, 40, 80, ?

Back

160 (This is a multiplicative pattern, multiplying by 2 each time.)

Front

Identify the relationship: 5, 10, 15, 20, ?

Back

25 (This is an additive pattern, adding 5 each time.)

Front

What is the difference between additive and multiplicative patterns?

Back

Additive patterns involve addition of a constant, while multiplicative patterns involve multiplication by a constant.

Front

If a graph shows a straight line, what type of relationship might it represent?

Back

It could represent either an additive or multiplicative relationship, depending on the slope.