CSAT Suneung · CSAT Mathematics

Sequences and series

16 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 16 questions

  1. In an arithmetic sequence the third term is 11 and the seventh term is 27. What is the 15th term?
  2. In an arithmetic sequence the third term is 11 and the seventh term is 23. What is the 12th term?
  3. In an arithmetic sequence the third term is 8 and the seventh term is 32. What is the 10th term?
  4. In an arithmetic sequence the third term is 6 and the seventh term is -2. What is the 9th term?
  5. In an arithmetic sequence the third term is 17 and the seventh term is 37. What is the 14th term?
  6. What is the sum of the first 6 terms of the geometric sequence with first term 2 and common ratio 3?
  7. What is the sum of the first 7 terms of the geometric sequence with first term 3 and common ratio 2?
  8. What is the sum of the first 5 terms of the geometric sequence with first term 1 and common ratio 4?
  9. What is the sum of the first 6 terms of the geometric sequence with first term 5 and common ratio 2?
  10. Find the value of the sum of k^2 for k = 1 to 5.
  11. Find the value of the sum of k^2 for k = 1 to 8.
  12. Find the value of the sum of k^2 for k = 1 to 10.
  13. Find the value of the sum of k^2 for k = 1 to 12.
  14. Find the value of the sum of k^2 for k = 1 to 15.
  15. The sequence a_n satisfies a_1 = 2 and a_(n+1) = 3 a_n - 1. What is a_4?
  16. The sum of the first n terms of a sequence is S_n = n^2 + 2n. What is the 10th term?

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