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.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 2.Here are the first five terms of an arithmetic sequence: 2, 5, 8, 11, 14. Work out the 8th term.
- 3.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 4.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 5.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.
- 6.Matchsticks are laid out as a row of squares, with each new square sharing a side with the square before it. The first square uses 4 matchsticks and every extra square uses 3 more. Work out how many matchsticks a row of 4 squares uses.
- 7.A sequence has the position-to-term rule 5n − 2, where n is the position number. Which of these is a term in the sequence?
- 8.Write down the first four terms of the sequence with nth term 6n − 5.
- 9.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 10.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.
- 11.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.
- 12.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 13.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 14.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.
- 15.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
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