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 nth term is 3n. Write down the first four terms of the sequence.
- 2.A wall is tiled in rows, and every row uses the same number of tiles. One row uses 10 tiles, two rows use 20 tiles and three rows use 30 tiles. Work out how many tiles are needed for 7 rows.
- 3.A theatre's front row has 18 seats. Each row behind has 4 more seats than the row in front. Which row has exactly 62 seats?
- 4.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 5.Here are the first five terms of an arithmetic sequence: 2, 5, 8, 11, 14. Work out the 8th term.
- 6.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 7.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.
- 8.Write down the first four terms of the sequence with nth term 6n − 5.
- 9.A geometric sequence starts at 4, and each term after that is found by multiplying the term before it by 3. Write down the first four terms of the sequence.
- 10.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 11.The nth term of a sequence is 3n + 2. Work out the 4th term of the sequence.
- 12.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 13.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 14.A plant is 4 cm tall in week 1. Each week after that, its height increases by 5 cm. Work out the first week in which the plant is taller than 30 cm.
- 15.A sequence has nth term 3n + 4. Two terms are missing from the list of its first five terms: 7, 10, _, 16, _. Work out the missing 3rd and 5th terms added together.
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