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 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.
- 2.Here are the first five terms of an arithmetic sequence: 4, 7, 10, 13, 16. Work out the 9th term.
- 3.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?
- 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 n² − 3, where n is the position number. Work out the difference between the 6th term and the 5th term.
- 6.Here are the first four terms of an arithmetic sequence: 5, 9, 13, 17. Work out the 5th term.
- 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 4n − 3. Work out the 7th term of the sequence.
- 9.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 10.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 11.A sequence has nth term 3n + 4. Two terms are missing from the list of its first five terms: 7, 10, _, 16, _. Work out the missing 3rd and 5th terms added together.
- 12.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 13.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.
- 14.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.
- 15.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?
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