① Arithmetic sequences — finding missing terms
Find the next terms, or find the term marked ? (■ = hidden terms you don't need to find)
Practice questions
② Arithmetic sequences — nth term rules
Find the rule that generates the sequence, then use it to find specific terms or check if a value belongs.
Practice questions
③ Other sequence types — finding missing terms
Geometric, Fibonacci-type and quadratic sequences. Identify the rule, then find the missing term.
Practice questions
④ Real-life applications
Write a rule from a real-world context, then use it to solve problems.
Problems
Key reminders
Arithmetic: add the same number each time. nth term = \(dn+c\) where \(d\) = common difference.
Geometric: multiply by the same ratio each time.
Fibonacci-type: each term = sum of the two before it.
Quadratic: second differences are constant. nth term contains \(n^2\).