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.
Generating sequences worksheet — GCSE Foundation
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- 1.A company's profit was £2000 in its first year. Each following year, the profit increases by £800. Work out the first year in which the profit is more than £7000.
- 2.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 3.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 4.Write down the first four terms of the sequence with nth term 6n − 5.
- 5.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.
- 6.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.
- 7.Here are the first five terms of an arithmetic sequence: 4, 7, 10, 13, 16. Work out the 9th term.
- 8.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.
- 9.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 10.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 11.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 12.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 13.Here are the first five terms of an arithmetic sequence: 2, 5, 8, 11, 14. Work out the 8th term.
- 14.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.
- 15.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?
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