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.Write down the first four terms of the sequence with nth term 6n − 5.
- 2.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.
- 3.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 4.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 5.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 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.A geometric sequence starts at 4, and each term after that is found by multiplying the term before it by 3. Write down the first four terms of the sequence.
- 8.A geometric sequence has first term 5, and each term after that is 3 times the term before it. Work out the first term of the sequence that is greater than 1000.
- 9.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.
- 10.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.
- 11.The nth term of a sequence is 3n + 2. Work out the 4th term of the sequence.
- 12.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 13.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 14.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.
- 15.Which of these rules generates the sequence 6, 11, 16, 21, …?
Build your own mix at the worksheet builder.