Patterns and Sequences #1

Front

What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

What is the next term in the sequence: -4, -1, 2, 5, 8?

Back

11

Front

What is the missing number in the sequence: 8, __, 12?

Back

10

Front

What pattern does the sequence 3, 6, 9, 12 follow?

Back

+3 (each term increases by 3).

Front

What is the missing number in the sequence: 2, 3, 4, __?

Back

5

Front

What is the 6th term in the sequence: 11, 15, 19, 23, ___?

Back

31

Front

Define an arithmetic sequence.

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the common difference in the sequence: 5, 10, 15, 20?

Back

5 (the difference between each term is 5).

Front

How do you find the nth term of an arithmetic sequence?

Back

Use the formula: nth term = first term + (n-1) * common difference.

Front

What is the next term in the sequence: 1, 4, 7, 10?

Back

13 (the common difference is 3).