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.
Non-calculator
Generating sequences worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 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 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.
- 3.Write down the first four terms of the sequence with nth term 6n − 5.
- 4.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 5.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.
- 6.The nth term of a sequence is 3n + 2. Work out the 4th term of the sequence.
- 7.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 8.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.
- 9.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 10.A sequence begins at 60, and each term after that is found by subtracting 7 from the term before it. Work out the 5th term of the sequence.
- 11.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?
- 12.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 13.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.
- 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.Here are the first five terms of an arithmetic sequence: 2, 5, 8, 11, 14. Work out the 8th term.
Build your own mix at the worksheet builder.