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 a linear pattern?

Back

The common difference is the fixed amount added to each term to get the next term in a linear sequence.

Front

If the first term of a linear pattern is 2 and the common difference is 3, what is the fifth term?

Back

The fifth term is 14.

Front

What is the formula for the nth term of a linear pattern?

Back

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

Front

Identify the next term in the pattern: 2, 5, 8, 11, ...

Back

The next term is 14.

Front

What is the eighth term of the pattern: -4, -13, -22, -31, ...?

Back

The eighth term is -67.

Front

How do you find the rule for a table of values?

Back

To find the rule, look for a consistent operation (addition, subtraction, multiplication, or division) that relates the input to the output.

Front

What is the next number in the pattern: 0, -1, -2, -3, ...?

Back

The next number is -4.

Front

If a pattern starts at 11 and decreases by 4 each time, what is the eighth term?

Back

The eighth term is -17.

Front

What is the next odd number after 7 in a linear pattern?

Back

The next odd number is 9.