Graphing special number sequences using technology

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 is the n^{\text{th}} term rule for the linear sequence 6, 10, 14, 18, ...?
5. Sam draws a graph of this geometric sequence. Which of these coordinates should Sam plot?
6. Andeep plots the graph of the equation y=3.4x-10. When the y coordinate is 75, the x coordinate is ___.
7. The sequence with n^{th} term 5.6n + 12 is graphed in the diagram. Is 40 a term in the sequence?
8. The 4th term in the sequence 3\times 5^{n-1} is ___. Use Desmos or the diagram to help you.
9. Is the number 654 in the sequence with n^{\text{th}} term rule n^3? Use Desmos or the diagram to help you.
10. Why does this diagram not represent the sequence of all square numbers in ascending order?
11. This graph shows the sequence of triangular numbers and the sequence 4n +4 (the line and curve are drawn to help you). Which of these statements are true?
12. Which is the correct n^{\text{th}} term rule for the geometric sequence which starts 1, 2, 4, 8, 16, ...?

License: OGL