Sequences
Identify and extend numeric sequences in Grade 6 math by finding the pattern or rule — work with arithmetic and geometric sequences and write the next terms with confidence.
Key Concepts
New Concept A sequence is an ordered list of numbers, called terms , that follows a certain rule. What’s next You will now analyze addition and multiplication sequences, identifying their rules and finding future terms in worked examples.
Common Questions
What is a sequence in math?
A sequence is an ordered list of numbers following a rule or pattern. Each number in the sequence is called a term. For example, 2, 4, 6, 8, 10 is a sequence where each term increases by 2.
How do you find the rule of a sequence?
Look at the difference or ratio between consecutive terms. If terms increase by adding the same number each time, it is arithmetic. If terms multiply by the same number each time, it is geometric.
What is the difference between arithmetic and geometric sequences?
Arithmetic sequences add or subtract a constant value each time, like 3, 6, 9, 12. Geometric sequences multiply or divide by a constant ratio each time, like 2, 6, 18, 54. Both follow a fixed rule.
How do you predict missing terms in a sequence?
Identify the rule by checking whether terms are added to, subtracted from, multiplied, or divided by a constant. Apply the rule repeatedly to find missing terms and verify it works for all consecutive pairs given.