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.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 3.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 4.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?
- 5.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 6.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.
- 7.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.
- 8.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.
- 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 square of the position number. Its first four terms are 1, 4, 9, 16. Work out the 10th term.
- 11.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.
- 12.The nth term of a sequence is 3n + 2. Work out the 4th term of the sequence.
- 13.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 14.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.
- 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.