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