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 sequence begins at 50, and each term after that is found by subtracting 8 from the term before it. Priya says the 8th term of the sequence is negative. Is Priya correct?
- 2.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.
- 3.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.
- 4.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 5.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 6.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 7.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 8.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.
- 9.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.
- 10.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?
- 11.Here are the first five terms of an arithmetic sequence: 4, 7, 10, 13, 16. Work out the 9th term.
- 12.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 13.Here are the first five terms of an arithmetic sequence: 2, 5, 8, 11, 14. Work out the 8th term.
- 14.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?
- 15.Write down the first four terms of the sequence with nth term 6n − 5.
Build your own mix at the worksheet builder.