2.2 Linear Patterns

Front

What is a linear pattern?

Back

A linear pattern is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the common difference in the sequence 190, 180, 170, 160?

Back

The common difference is -10.

Front

How do you determine if a pattern is linear?

Back

A pattern is linear if the differences between consecutive terms are the same.

Front

What is the next term in the sequence 2, 5, 8, 11, 14?

Back

The next term is 17.

Front

What does it mean if the output of a function is getting bigger?

Back

It means that as the input increases, the output also increases.

Front

What is the formula for finding the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

If a sequence has a common difference of +5, what type of pattern is it?

Back

It is an increasing linear pattern.

Front

What is the 5th term in the tile pattern if the sequence is 3, 5, 7, 9?

Back

The 5th term is 11.

Front

What does it mean if a table of values does not show a linear pattern?

Back

It means that the relationship between the variables is not consistent and does not form a straight line when graphed.

Front

How can you identify a non-linear pattern?

Back

A non-linear pattern can be identified if the differences between terms are not constant.