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.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.
- 2.The nth term of a sequence is 3n + 2. Work out the 4th term of the sequence.
- 3.Here are the first five terms of an arithmetic sequence: 4, 7, 10, 13, 16. Work out the 9th term.
- 4.Write down the first four terms of the sequence with nth term 6n − 5.
- 5.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.
- 6.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.
- 7.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?
- 8.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 9.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.
- 10.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?
- 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.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.
- 14.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 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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