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Sequences & nth Term

Arithmetic sequences and finding the nth term.

Mathematics · Algebra · Year 10 · 25 mins · 20 marks · 10 questions

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Find the next term in 3, 7, 11, 15, … (2 marks)

The common difference of 5, 9, 13, 17 is: (2 marks)

Find the nth term of 2, 5, 8, 11, … (2 marks)

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Full question list

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1. Find the next term in 3, 7, 11, 15, … (2 marks)

2. The common difference of 5, 9, 13, 17 is: (2 marks)

  • 2
  • 3
  • 4
  • 5

3. Find the nth term of 2, 5, 8, 11, … (2 marks)

4. Find the 10th term of the sequence with nth term 4n + 1. (2 marks)

5. Is 50 in the sequence 3, 7, 11, 15, … ? (2 marks)

  • Yes
  • No

6. Find the nth term of 10, 7, 4, 1, … (2 marks)

7. The 1st term of an arithmetic sequence is 4 and the common difference is 6. The 5th term is: (2 marks)

8. Geometric sequence 2, 6, 18, 54… The next term is: (2 marks)

  • 108
  • 162
  • 72
  • 216

9. Find the common ratio of 3, 12, 48, 192. (2 marks)

10. nth term is n². What is the 6th term? (2 marks)

Show answer key
  • 1. 19
  • 2. 4
  • 3. 3n − 1
  • 4. 41
  • 5. No
  • 6. 13 − 3n
  • 7. 28
  • 8. 162
  • 9. 4
  • 10. 36

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