The document discusses recursion and examples of recursive functions including factorials and the Fibonacci sequence. It provides definitions, examples, and solutions for recursive expressions involving factorials, calculating factorials, and terms in the Fibonacci sequence.

1. Example – (21 - 2)

2. Example – (21 – 2a)

3. Example – (21 – 2b)

4. Recursion – (21 - 3)

5. Recursion – (21 – 3a)

6. Example – (21 - 5)

7. Solution – (21 – 5a)

8. Solution – (21 – 5b)

9. Example – (21 - 6)

10. Solution – (21 – 6a)

11. Solution – (21 - 7)

12. Solution – (21 - 7)

13. Factorial of n (21 - 8)

14. Example – (21 – 8a)

15. Remarks – (21 - 9)

16. Recursive Definition of Factorial – (21 - 10)

17. Recursive Definition of Factorial – (21 – 10a)

18. Example – (21 - 12)

19. Example – (21 – 12a)

20. Solution – (21 – 12b)

21. Solution – (21 – 13)

22. Solution – (21 - 14)

23. Fibonacci Sequence – (21 - 15)

24. Fibonacci Sequence – (21 – 15a)

25. Exercise – (21 - 17)

26. Solution – (21 – 17a)

27. Example – (21 - 18)

28. Solution – (21 – 18a)

29. Solution – (21 – 18b)

30. Example – (21 - 19)

31. Solution – (21 – 19b)

32. Solution – (21 – 19c)

33. Application of Recursion – (21 - 23)