Sequences — Paper 2 · IGCSE Mathematics - International 0607

5 These are the first five terms of a sequence. 1 0 1 4 9 Find the nth term of this sequence. … [2]

2 marks

Mark scheme: 5 ( n − 2 ) 2 oe 2 M1 for a quadratic expression

This question in 0607/21 May/June 2018

12 Find the next term and an expression for the nth term of the following sequence. -9, -3, 7, 21, 39, … next term = … nth term = … [3]

3 marks

Mark scheme: 12 61 3 B1 for 61 2 n 2 − 11 M1 for an 2 + b , a ≠ 0

This question in 0607/21 Oct/Nov 2018

6 9, 27, 81, 243, … Find the nth term of this sequence. … [2]

2 marks

Mark scheme: 6 3n +1 oe 2 B1 for 3k

This question in 0607/21 Oct/Nov 2019

11 Find the next term and an expression for the nth term of this sequence. 35, 29, 19, 5, … next term = … nth term = … [3]

3 marks

Mark scheme: 11 −13 3 B1 for −13 37 − 2n 2 M1 for any quadratic expression or common second differences of 4

This question in 0607/22 Feb/March 2021

11 Here are the first five terms of a sequence. 1 1 4 16 64 4 (a) Find the next term. … [1] (b) Find the nth term. … [2]

3 marks

Mark scheme: 11(a) 256 1 11(b) 4 n − 2 oe 2 M1 for 4 n + k , k ≠0 or 2 2 n + k , k ≠0

This question in 0607/23 May/June 2021

8 Find an expression for the n th term of each sequence. (a) 1, 7, 13, 19, 25, … … [2] (b) 1, -2, 3, -4, 5, … … [2]

4 marks

Mark scheme: 8(a) 6n − 5 oe final answer 2 M1 for 6n + k or kn − 5 8(b) ( −1)n +1 n oe final answer 2 B1 for ( −1)k oe

This question in 0607/21 Oct/Nov 2022

8 Find the next term and the nth term for this sequence. 1, 7, 17, 31, 49, … next term … nth term … [3]

3 marks

Mark scheme: 8 71 B1 2 n 2  1 B2 M1 for any quadratic or 2nd differences of 4 seen

This question in 0607/23 May/June 2023

11 These are the first five terms of a sequence. 3 9 19 33 51 Find the nth term of this sequence. … [2]

2 marks

Mark scheme: 11 2n 2 + 1 2 M1 for second differences of 4 or any quadratic expression

This question in 0607/22 Feb/March 2025

14 These are the first 5 terms of a sequence. 1 7 17 31 49 (a) Find the next term of the sequence. … [1] (b) Find an expression for the nth term of the sequence. … [2]

3 marks

Mark scheme: 14(a) 71 1 14(b) 2n 2 − 1 oe final answer 2 M1 for a quadratic

This question in 0607/21 May/June 2025

20 These are the first 5 terms of a sequence. 3 6 12 24 48 (a) Find the next term of the sequence. … [1] (b) Find the nth term of the sequence. … [2]

3 marks

Mark scheme: 20(a) 96 1 20(b) 3  2 n −1 oe final answer 2 B1 for 2k oe

This question in 0607/23 May/June 2025