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 general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the nth term of a linear pattern?

Back

To find the nth term, use the formula: nth term = first term + (n-1) * common difference.

Front

What is the common difference in a linear pattern?

Back

The common difference is the constant amount that each term increases or decreases by in a linear sequence.

Front

Given the pattern: 4, 7, 10, 13, what is the common difference?

Back

The common difference is 3.

Front

If the first term of a linear pattern is 5 and the common difference is 2, what is the 10th term?

Back

The 10th term is 23.

Front

What is the 11th term in the pattern: -11, -14, -17, -20?

Back

The 11th term is -41.

Front

In the equation y = 3x + 9, what does the 3 represent?

Back

The 3 represents the slope of the line, indicating how much y changes for a unit change in x.

Front

What is the 50th term in the pattern: 4, 7, 10, 13, if 4 is the 0th term?

Back

The 50th term is 154.

Front

How do you determine if a sequence is linear?

Back

A sequence is linear if the difference between consecutive terms is constant.