Sequences Quiz
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5 questions, one answer each
Each answer is checked as you go, with why.
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1. A sequence is defined by the term-to-term rule: 'multiply the previous term by 2 and subtract 1'. The first term is 5. What is the third term?
- A. 17
- B. 18
- C. 19
- D. 20
2. For the linear sequence 3, 7, 11, 15, ..., which formula gives the nth term?
- A. 4n − 1
- B. 4n + 3
- C. 3n + 4
- D. n + 3
3. Which sequence is geometric?
- A. 2, 6, 10, 14, ...
- B. 2, 6, 18, 54, ...
- C. 1, 1, 2, 3, 5, ...
- D. 2, 4, 8, 14, ...
4. For the quadratic sequence 2, 8, 18, 32, 50, ..., what is the nth term formula?
- A. 2n²
- B. n² + n
- C. 2n² + 1
- D. 2n² − 2
5. A Fibonacci-type sequence starts: 3, 5, 8, 13, 21, ... where each term is the sum of the previous two terms. Is 89 a term in this sequence?
- A. No, the sequence goes 3, 5, 8, 13, 21, 34, 55, 89, so 89 is not in the sequence
- B. Yes, continuing the sequence gives 3, 5, 8, 13, 21, 34, 55, 89
- C. No, after 55 the next term would be 90, not 89
- D. Yes, but only if we start counting from n = 0