Sequences: Edexcel International GCSE Maths questions

Every Edexcel International GCSE Maths exam question on 3.1 Sequences, 2019–2025, with its mark scheme and examiner’s report.

All 64 questions on Sequences, as a list

June 2025 (R), Paper 1 Foundation, Q9 (2 marks): Here are the first four terms of a number sequence. 5 12 19 26 (i) Write down the next term of the sequence. (ii) Explain how you worked out your answer.
June 2025 (R), Paper 1 Higher, Q24 (6 marks): The first 3 terms of an arithmetic series are (2x + 5) (3y – 4) (4x – 2) where x and y are constants. The sum of the first 9 terms of the series is 216 Find the
June 2025, Paper 1 Foundation, Q6 (3 marks): Here are the first four terms of a number sequence. 7 11 15 19 (a) Write down the next term of the sequence. (b) Explain how you found your answer to part (a) (
June 2025, Paper 1 Higher, Q24 (5 marks): An arithmetic series has 30 terms. The first term is a The common difference is d The 20th term is 123 The sum of the 30 terms is 2880 Work out the value of a a
November 2024, Paper 1 Higher, Q19 (5 marks): An arithmetic series has first term a and common difference d The sum of the first 30 terms of the arithmetic series is 4395 The sum of the 10th term and the 20
November 2024, Paper 2 Foundation, Q2 (5 marks): Here are the first five terms of a number sequence. 11 15 19 23 27 (a) (i) Write down the next term of the sequence. (ii) Explain how you found your answer to p
June 2024 (R), Paper 1 Foundation, Q11 (8 marks): (a) Simplify c + c + c + c + c (b) Simplify 7w + 10y ‒ 9w + 2y The nth term of a sequence is given by 7n – 4 (c) Find the 1st term and the 5th term of the s
June 2024 (R), Paper 1 Higher, Q23 (4 marks): Here are the first three terms of an arithmetic sequence. ( 4 x 14 ) , ( x 2 ) , ( 7 x 9 ) Find, as an integer, the sum of the first 40 terms of the sequence. S
June 2024 (R), Paper 2 Foundation, Q7 (3 marks): Here are the first five terms of a number sequence. −3 5 13 21 29 (a) (i) Write down the next term of the sequence. (ii) Explain how you worked out your answe
June 2024, Paper 1 Foundation, Q16 (3 marks): Here are the first four terms of an arithmetic sequence. 1 4 7 10 (a) Find an expression, in terms of n, for the nth term of this sequence. The nth term of a di
June 2024, Paper 1 Higher, Q1 (3 marks): Here are the first four terms of an arithmetic sequence. 1 4 7 10 (a) Find an expression, in terms of n, for the nth term of this sequence. The nth term of a di
June 2024, Paper 1 Higher, Q24 (6 marks): A polygon has n sides, where n > 5 The interior angles of the polygon form an arithmetic sequence. The smallest angle of the polygon is 84° The common differenc
June 2024, Paper 2 Foundation, Q4 (4 marks): Here are the first five terms of a number sequence. 106 99 92 85 78 (a) (i) Write down the next term of the sequence. (ii) Explain how you found your answer to
November 2023, Paper 1 Higher, Q19 (6 marks): Here are the first 4 terms in an arithmetic sequence. 3 7 11 15 The last term of the sequence is x The sum of the terms of the sequence is 7260 Find the value o
June 2023 (R), Paper 1 Foundation, Q5 (2 marks): Here are the first four terms of a number sequence. 2 6 10 14 Elsie correctly works out that the next term in the sequence is 18 (a) Explain how she was able to
June 2023 (R), Paper 2 Foundation, Q19 (2 marks): Here are the first four terms of an arithmetic sequence. 38 31 24 17 Find an expression, in terms of n, for the nth term of the sequence.
June 2023 (R), Paper 2 Higher, Q4 (2 marks): Here are the first four terms of an arithmetic sequence. 38 31 24 17 Find an expression, in terms of n, for the nth term of the sequence.
June 2023 (R), Paper 2 Higher, Q23 (5 marks): Here are the first three terms of an arithmetic sequence. 8p 7p – 3 4p + 2 The sum of the first n terms of the sequence is –1914 Work out the value of n Show yo
June 2023, Paper 1 Higher, Q20 (6 marks): The sum of the first 80 terms of an arithmetic series, S, is 470 The 75th term of S is 14.5 The sum of the first X terms of S is 171 Work out the value of X Sho
June 2023, Paper 2 Foundation, Q4 (4 marks): Here is a sequence of patterns made from sticks. Pattern number 1 Pattern number 2 Pattern number 3 (a) In the space below, draw Pattern number 4 (b) Complete t
January 2023 (R), Paper 1 Higher, Q24 (5 marks): An arithmetic sequence has first term 8 and common difference 11 The sequence has k terms, where k > 21 The sum of the last 20 terms of the sequence is 10 170 F
January 2023 (R), Paper 2 Foundation, Q6 (4 marks): Here are the first five terms of a number sequence. 4 10 16 22 28 (a) (i) Write down the next term of the sequence. (ii) Explain how you worked out your answer.
January 2023, Paper 1 Foundation, Q3 (4 marks): A sequence of patterns is made from squares. Pattern number 1 Pattern number 2 Pattern number 3 (a) In the space below, draw Pattern number 4 Pattern number 4 (
January 2023, Paper 1 Higher, Q22 (4 marks): The first term of an arithmetic series is (2t + 1) where t > 0 The nth term of this arithmetic series is (14t – 5) The common difference of the series is 3 The
June 2022 (R), Paper 1 Foundation, Q18 (4 marks): In a warehouse there are two types of shelves, type R and type S. These two types of shelves are arranged into shelving units that form a sequence of patterns.
June 2022 (R), Paper 1 Higher, Q2 (4 marks): In a warehouse there are two types of shelves, type R and type S. These two types of shelves are arranged into shelving units that form a sequence of patterns.
June 2022 (R), Paper 1 Higher, Q25 (5 marks): The sum of the first 10 terms of an arithmetic series is 4 times the sum of the first 5 terms of the same series. The 8th term of this series is 45 Find the fir
June 2022 (R), Paper 2 Foundation, Q7 (3 marks): Here are the first five terms of a number sequence. 1 7 13 19 25 (a) (i) Write down the next term of the sequence. (ii) Explain how you worked out your answer.
June 2022, Paper 1 Foundation, Q16 (3 marks): Here are the first five terms of an arithmetic sequence. 1 5 9 13 17 (a) Find an expression, in terms of n, for the nth term of this sequence. The nth term of a
June 2022, Paper 1 Higher, Q1 (3 marks): Here are the first five terms of an arithmetic sequence. 1 5 9 13 17 (a) Find an expression, in terms of n, for the nth term of this sequence. The nth term of a
June 2022, Paper 1 Higher, Q23 (6 marks): A polygon has n sides, where n > 5 When arranged in order of size, starting with the largest number, the sizes of the interior angles of the polygon, in degrees
June 2022, Paper 2 Foundation, Q3 (4 marks): Here are the first five terms of a number sequence. 7 13 19 25 31 (a) (i) Write down the next term of the sequence. (ii) Explain how you found your answer to pa
January 2022 (R), Paper 1 Foundation, Q5 (3 marks): Here are the first 4 terms of a number sequence. 7 12 17 22 (a) (i) Write down the next term of the sequence. (ii) Explain how you worked out your answer. (b) I
January 2022 (R), Paper 1 Higher, Q16 (4 marks): An arithmetic series has first term 1 and common difference 4 Find the sum of all terms of the series from the 41st term to the 100th term inclusive.
January 2022, Paper 2 Foundation, Q11 (4 marks): Here is a sequence of patterns made from counters. Pattern Pattern Pattern number 1 number 2 number 3 (a) In the space below, draw Pattern number 4 (b) Complete
January 2022, Paper 2 Higher, Q26 (5 marks): An arithmetic series has first term a and common difference d, where d is a prime number. The sum of the first n terms of the series is Sn and Sm = 39 S2m = 320
November 2021, Paper 2 Foundation, Q6 (3 marks): Here are the first four terms of a number sequence. 4 8 12 16 (a) Write down the next term of the sequence. (b) Explain how you found your answer to part (a). (
November 2021, Paper 2 Higher, Q20 (5 marks): Here are the first four terms of an arithmetic series. 3 k k k k 4 2 4 Given that the 15th term of the series is (90 + 2k), calculate the sum of the first 30 te
June 2021, Paper 1 Foundation, Q17 (2 marks): Here are the first 4 terms of an arithmetic sequence. 85 79 73 67 Find an expression, in terms of n, for the nth term of the sequence.
June 2021, Paper 1 Higher, Q2 (2 marks): Here are the first 4 terms of an arithmetic sequence. 85 79 73 67 Find an expression, in terms of n, for the nth term of the sequence.
June 2021, Paper 1 Higher, Q23 (5 marks): The sum of the first N terms of an arithmetic series, S, is 292 The 2nd term of S is 8.5 The 5th term of S is 13 Find the value of N. Show clear algebraic worki
January 2021 (R), Paper 1 Higher, Q21 (6 marks): The nth term of an arithmetic series is un where un > 0 for all n The sum to n terms of the series is Sn Given that u4 = 6 and that S11 = (u6) 2 + 18 find the v
January 2021, Paper 1 Foundation, Q5 (4 marks): A sequence of shapes is made by shading squares on a square grid. Shape number 1 2 3 4 (a) On the grid, draw Shape number 4 (b) Complete the table. Shape number
January 2021, Paper 1 Higher, Q24 (4 marks): An arithmetic series has first term a and common difference d. The sum of the first 2n terms of the series is four times the sum of the first n terms of the ser
November 2020 (R), Paper 1 Higher, Q18 (4 marks): In an arithmetic series, the 6th term is 39 In the same arithmetic series, the 19th term is 7.8 Work out the sum of the first 25 terms of the arithmetic series.
November 2020 (R), Paper 2 Foundation, Q3 (3 marks): Here are the first five terms of a number sequence. 1 3 9 27 81 (a) Find the next term of this sequence. (b) Explain how you found this term. The 9th term of th
November 2020, Paper 1 Higher, Q24 (4 marks): Here are the first five terms of an arithmetic sequence. 8 15 22 29 36 Work out the sum of all the terms from the 50th term to the 100th term inclusive.
November 2020, Paper 2 Foundation, Q6 (5 marks): Here are the first five terms of a number sequence. 3 7 11 15 19 (a) Write down the next term of the sequence. (b) Explain how you worked out your answer. (c) F
January 2020 (R), Paper 2 Foundation, Q9 (6 marks): Here is a sequence of patterns made from circles. Pattern Pattern Pattern Pattern number 1 number 2 number 3 number 4 (a) In the space below, draw Pattern numbe
January 2020 (R), Paper 2 Higher, Q22 (4 marks): The first term of an arithmetic series S is –6 The sum of the first 30 terms of S is 2865 Find the 9th term of S.
January 2020, Paper 1 Foundation, Q4 (5 marks): Here is a sequence of patterns made from square tiles. Pattern number 1 Pattern number 2 Pattern number 3 (a) In the space below, draw Pattern number 4 (b) Comp
January 2020, Paper 2 Higher, Q25 (3 marks): Mario is going to save $50 in the year 2021 He is going to continue to save, up to and including the year 2070, by increasing the amount he saves each year by $
June 2019 (R), Paper 1 Higher, Q19 (5 marks): The 25th term of an arithmetic series is 44.5 The sum of the first 30 terms of this arithmetic series is 765 Find the 16th term of the arithmetic series. Show y
June 2019 (R), Paper 2 Higher, Q17 (4 marks): The table gives information about the first six terms of a sequence of numbers. Term number 1 2 3 4 5 6 1 2 2 3 3 4 4 5 5 6 6 7 × × × × × × Term of sequence 2 2
June 2019, Paper 1 Higher, Q16 (2 marks): Here are the first five terms of an arithmetic sequence. 7 10 13 16 19 Find the sum of the first 100 terms of this sequence.
June 2019, Paper 2 Foundation, Q6 (6 marks): Here is a sequence of patterns made from sticks. Pattern Pattern Pattern number 2 number 3 number 1 (a) In the space below, draw Pattern number 4 (b) How many s
January 2019 (R), Paper 1 Foundation, Q9 (5 marks): Here is a sequence of patterns made from white counters and black counters. Pattern Pattern Pattern number 1 number 2 number 3 (a) In the space below, complete
January 2019 (R), Paper 1 Higher, Q12 (5 marks): Here are the first four terms of a sequence of fractions. 1 2 3 4 1 3 5 7 The numerators of the fractions form the sequence of whole numbers 1 2 3 4 … The denom
January 2019 (R), Paper 2 Foundation, Q17 (4 marks): Here are the first five terms of a number sequence S. 10 16 22 28 34 (a) Find an expression, in terms of n, for the nth term of this sequence. The nth term of a
January 2019 (R), Paper 2 Higher, Q3 (4 marks): Here are the first five terms of a number sequence S. 10 16 22 28 34 (a) Find an expression, in terms of n, for the nth term of this sequence. The nth term of a
January 2019 (R), Paper 2 Higher, Q23 (4 marks): The 10th term of an arithmetic series, S, is 66 The sum of the first 20 terms of S is 1290 Find the 5th term of S. Show your working clearly.
January 2019, Paper 1 Foundation, Q3 (5 marks): Here is a sequence of patterns made from identical pentagons. Pattern Pattern Pattern number 1 number 2 number 3 (a) (i) Work out the number of pentagons in Pat
January 2019, Paper 1 Higher, Q21 (4 marks): (2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence. Prove that the common difference of the sequence is 12
January 2019, Paper 2 Higher, Q2 (2 marks): Here are the first five terms of an arithmetic sequence. 7 11 15 19 23 Write down an expression, in terms of n, for the nth term of this sequence.

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