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 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.
- 2.Which of these rules generates the sequence 6, 11, 16, 21, …?
- 3.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.
- 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 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.
- 7.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.
- 8.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.
- 9.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.
- 10.The nth term of a sequence is 3n + 2. Work out the 4th term of the sequence.
- 11.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.
- 12.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 13.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?
- 14.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?
- 15.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.
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