Checking and securing understanding of special number sequences

12 questions

1. Which of these are square numbers?
2. Which of these are cube numbers?
3. Which of these are triangular numbers?
4. Which of these could be the first 4 terms of a sequence with term-to-term rule "add -3"
5. Which of these could be the first 4 terms in an arithmetic (linear) sequence?
6. Which of these could be the first 4 terms in a geometric sequence?
7. The square numbers in ascending order can form a sequence with common ___ difference. This means they form a quadratic sequence.
8. What is the missing term in this sequence of all triangular numbers? 1, 3, 6, ___, 15, ...
9. Match the quadratic sequences to their common second differences.
10. If the 15^\text{th} square number is 225 and the 16^\text{th} square number is 256, what is the 17^\text{th} square number?
11. If the 15^\text{th} triangular number is 120 and the 16^\text{th} triangular number is 136, what is the 17^\text{th} triangular number?
12. Match these sequences up with their descriptions. They are all related to either the triangular, square or cube numbers.

License: OGL