Bagrut (Secondary School Matriculation) · Mathematics

Probability, counting and sequences

17 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 17 questions

  1. The first term of an arithmetic sequence is -2 and the common difference is 2. What is the 20th term?
  2. A geometric sequence has first term 2 and common ratio 3. What is the 4th term?
  3. A club has 6 members. In how many ways can a committee of 2 be chosen?
  4. The first term of an arithmetic sequence is 3 and the common difference is 3. What is the sum of the first 15 terms?
  5. A club has 10 members. In how many ways can a committee of 2 be chosen?
  6. The first term of an arithmetic sequence is 7 and the common difference is -3. What is the 12th term?
  7. A geometric sequence has first term 4 and common ratio 3. What is the sum of its first 5 terms?
  8. The first term of an arithmetic sequence is 5 and the common difference is -3. What is the sum of the first 10 terms?
  9. A club has 8 members. In how many ways can a committee of 3 be chosen?
  10. The first term of an arithmetic sequence is 5 and the common difference is 5. What is the 12th term?
  11. A geometric sequence has first term 3 and common ratio 2. What is the 5th term?
  12. 8 runners compete in a race. In how many ways can the first 3 places be awarded?
  13. The first term of an arithmetic sequence is 7 and the common difference is 4. What is the sum of the first 12 terms?
  14. A geometric sequence has first term 5 and common ratio 3. What is the sum of its first 4 terms?
  15. A club has 8 members. In how many ways can a committee of 2 be chosen?
  16. The first term of an arithmetic sequence is 5 and the common difference is -3. What is the sum of the first 12 terms?
  17. A club has 6 members. In how many ways can a committee of 3 be chosen?

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