Recognising special number sequences

12 questions

1. Which of these could be the first four terms in an arithmetic sequence?
2. 6, 30, 150, 750, ... are the first four terms in a geometric sequence with common ratio ___.
3. 36, 49, 64, 81, ... are the first four terms in a sequence of square numbers. The next term is ___.
4. Which of these are triangular numbers?
5. Select the expression that represents 4 more than a + 4.
6. Which of these could be the first four terms in a geometric sequence?
7. The next term in the sequence 8, 2, 10, 12, ... is found by adding the two previous terms. The next term is ___.
8. Which of these could be an arithmetic sequence?
9. Which of these could be a geometric sequence?
10. Match the first four terms of each sequence with the rule which could describe it.
11. This sequence starts by adding 5 and has a common second difference of 3. The next term in the sequence is ___.
12. Which of these could be the first four terms of a sequence with a common second difference? (They are called quadratic sequences).

License: OGL