1. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. To show the solutions to a question about forming and continuing sequences. Objectives

2. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Steel beams are used to create a strong bridge support in the following way: Shape 1 has 3 beams.

3. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. Shape 2 has 5 beams. 1. Steel beams are used to create a strong bridge support in the following way:

4. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. Shape 3 has 7 beams. 1. Steel beams are used to create a strong bridge support in the following way:

5. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. Shape 4 has 9 beams. 1. Steel beams are used to create a strong bridge support in the following way:

6. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. How many beams will shape 8 have? 2. If the number of beams is b, find a formula for the number of beams in shape n. 1. Steel beams are used to create a strong bridge support in the following way:

7. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Firstly, make a table of values of n and b : Solution n 1234 b

8. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Firstly, make a table of values of n and b : n b Solution

9. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Firstly, make a table of values of n and b : n 1 b 3 Solution

10. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Firstly, make a table of values of n and b : n 12 b 35 Solution

11. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Firstly, make a table of values of n and b : n 123 b 357 Solution

12. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Firstly, make a table of values of n and b : n 1234 b 3579 Solution

13. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Then continue the pattern. n 1234 b 3579 Solution

14. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Then continue the pattern. n 12345678 b 3579 Notice that 2 is added each time. +2 Solution

15. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Then continue the pattern. n 12345678 b 357911 +2 Solution

16. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Then continue the pattern. n 12345678 b 35791113 +2 Solution

17. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Then continue the pattern. n 12345678 b 3579111315 +2 Solution

18. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. 1. Then continue the pattern n 12345678 b 357911131517 +2 There are 17 beams in the 8 th shape. Solution

19. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. n 12345678 b 357911131517 2. Look at the difference in each case. +2 Difference = number before n in the formula. But b = 3 when n = 1

20. Edexcel GCSE Maths Spec B – Modular: Booster C © Pearson Education 2010. This document may have been altered from the original. Make sure that you draw a few more shapes than those given in the question. Summary Make a table of values. Look at the differences between values. Use these differences to find a formula.