Printable · GCSE Foundation · ages 14-16
Generating sequences worksheet — GCSE Foundation
Fifteen questions on "generating sequences" — DfE statement A23. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Generating sequences worksheet — GCSE Foundation
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- 1.A sequence has the position-to-term rule: the term is the square of the position number. Its first four terms are 1, 4, 9, 16. Work out the 10th term.
- 2.A geometric sequence starts at 3, and each term after that is found by multiplying the term before it by 2. Write down the first four terms.
- 3.A sequence has the position-to-term rule n² − 3, where n is the position number. Work out the difference between the 6th term and the 5th term.
- 4.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 5.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 6.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 7.Here are the first five terms of an arithmetic sequence: 2, 5, 8, 11, 14. Work out the 8th term.
- 8.A sequence begins at 50, and each term after that is found by subtracting 8 from the term before it. Priya says the 8th term of the sequence is negative. Is Priya correct?
- 9.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 10.A sequence begins at 7. Each term after the first is found by adding 6 to the term before it. Work out the 6th term of the sequence.
- 11.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 12.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 13.A sequence has the position-to-term rule n² + 1, where n is the position number. Work out how much bigger the 5th term is than the 4th term.
- 14.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 15.A sequence has the position-to-term rule: the term is the position number multiplied by itself. Its first five terms are 1, 4, 9, 16, 25. Work out the 8th term.
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