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 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.
- 2.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 3.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.
- 4.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.
- 5.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?
- 6.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 7.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 8.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.
- 9.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 10.Here are the first five terms of an arithmetic sequence: 4, 7, 10, 13, 16. Work out the 9th term.
- 11.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 12.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 13.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.
- 14.The nth term of a sequence is 3n + 2. Work out the 4th term of the sequence.
- 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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