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.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.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?
- 3.A sequence has the position-to-term rule n² + 2, where n is the position number. Work out the 6th term.
- 4.Matchsticks are laid out as a row of squares, with each new square sharing a side with the square before it. The first square uses 4 matchsticks and every extra square uses 3 more. Work out how many matchsticks a row of 4 squares uses.
- 5.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
- 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 sequence has the position-to-term rule 5n − 2, where n is the position number. Which of these is a term in the sequence?
- 8.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.
- 9.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 10.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.
- 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.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.
- 13.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 14.The nth term of a sequence is n² + 3. Work out the first term of the sequence that is greater than 50.
- 15.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.
Build your own mix at the worksheet builder.