The next term of 3, 7, 11, 15 is 19 and the nth term of 5, 9, 13, 17 is 4n + 1, so this Year 8 sheet opens with one predicted step and the general formula. The answers record 162, −3 and 11 as other sequence outcomes.
Key Takeaways
The next term after 3, 7, 11, 15 is 19 (Q1).
The nth term of 5, 9, 13, 17 is 4n + 1 (Q2).
Q5 records 11 as a later term.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The next term of the sequence 3, 7, 11, 15 is
(a) 17(b) 19(c) 21(d) 18
2.The nth term of the sequence 5, 9, 13, 17 is
(a) 4n + 1(b) 4n - 1(c) 5n(d) 3n + 2
3.The next term of the sequence 2, 6, 18, 54 is
(a) 108(b) 162(c) 72(d) 90
4.The common difference of the sequence 10, 7, 4, 1 is
(a) 3(b) -3(c) -7(d) 7
5.The 5th term of the sequence with nth term 2n + 1 is
(a) 9(b) 11(c) 10(d) 13
6.The nth term of the sequence of square numbers 1, 4, 9, 16 is
(a) n²(b) 2n(c) n(n + 1)(d) n + 1
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Find the next term of the sequence 4, 9, 14, 19.
8.Write the nth term of the sequence 2, 4, 6, 8.
9.Find the common difference of the sequence 15, 12, 9, 6.
10.Write the first three terms of the sequence with nth term 3n + 1.
11.Find the 10th term of the sequence with nth term 2n.
12.Write the nth term of the sequence 1, 8, 27, 64.
13.Find the 6th term of the sequence with nth term 2n - 1.
14.Is 20 a term of the sequence 3, 7, 11, 15, ...?
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A sequence has nth term 2n + 3. Find the 5th and the 10th terms.
16.The nth term of a sequence is n² + 1. Write the first three terms.
17.A staircase has 2 steps on the first floor, 4 on the second and 6 on the third. If the pattern continues, how many steps will there be on the 10th floor?
18.Find the nth term of the sequence 5, 8, 11, 14.
19.The sequence 1, 4, 9, 16 consists of square numbers. Write its nth term and find the 8th term.
20.The nth term of a sequence is 10 - 2n. Find its 3rd term.
Answer Key
1. b) 19
2. a) 4n + 1
3. b) 162
4. b) -3
5. b) 11
6. a) n²
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What comes after 3, 7, 11, 15?
19, option (b) in this worksheet (Q1).
What is the nth term of 5, 9, 13, 17?
4n + 1, option (a) in this worksheet (Q2).
What is the nth term of 1, 4, 9, 16, ...?
n², option (a) in this worksheet (Q6).
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