Features of special number sequences

12 questions

1. Which of these are square numbers?
2. Which of these arrays represent a square number?
3. Which of these are cube numbers?
4. Match each sequence with its term-to-term rule.
5. Which of these could be a position-to-term rule for the sequence which starts 5, 8, 11, 14, 17, ... ?
6. Which of these could be the first 4 terms of a geometric sequence?
7. Starting with the smallest triangular number, order these numbers so they form the sequence of triangular numbers in ascending order.
8. Which of these arrays correctly represents a triangular number?
9. The n^{\text{th}} term rule for a sequence is n^{2}. The 8^{\text{th}} term in the sequence is ___.
10. The 13^{\text{th}} triangular number is 91. The 14^{\text{th}} triangular number is ___.
11. Match each answer to the correct calculation.
12. The hexagonal numbers are made by arranging dots on hexagonal shapes. Using the diagram, the 5^{\text{th}} hexagonal number is ___.

License: OGL