Sequences and the nth term

Worksheet: Sequences and the nth term

Name:Class:

Answer the questions.

1. A sequence starts at 5 and the rule is add 4 each time. What is the 3rd term?
   a) 12b) 13c) 17d) 9
2. The term-to-term rule of 100, 90, 80, 70, ... is:
   a) add 10b) divide by 10c) subtract 10d) subtract 100
3. The rule 'multiply by 2' starting at 3 gives 3, 6, 12, 24, ...
   a) Trueb) False
4. What is the next term in the sequence 2, 5, 8, 11, ...?
   a) 13b) 14c) 15d) 16
5. What is the next term in the sequence 1, 4, 9, 16, 25, ...?
   a) 30b) 34c) 36d) 49
6. Find the next term: 48, 24, 12, 6, ...
7. The nth term of a sequence is 3n + 2. What is the 4th term?
   a) 11b) 12c) 14d) 24
8. The nth term is 5n − 3. What is the 10th term?
   a) 42b) 47c) 50d) 53
9. What is the nth term of 4, 8, 12, 16, ...?
   a) 4nb) 4n + 4c) n + 4d) n × n
10. What is the nth term of 5, 7, 9, 11, ...?
    a) 2n + 3b) 2n + 5c) 3n + 2d) n + 2
11. Write the nth term of the sequence 7, 10, 13, 16, ...
12. The nth term of 10, 8, 6, 4, ... is 12 − 2n.
    a) Trueb) False
13. The nth term is 4n + 1. Which of these numbers is in the sequence?
    a) 26b) 29c) 30d) 34
14. The number 50 is in the sequence with nth term 3n + 1.
    a) Trueb) False
15. Which term number is 31 in the sequence with nth term 2n + 7?
16. The nth term is 6n. Which number is in this sequence?
    a) 40b) 42c) 46d) 50