# 11 x1 t14 01 definitions & arithmetic series (2013)

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• 1. Series & Applications
• 2. Series & Applications Definitions
• 3. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern
• 4. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together
• 5. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together a:the first term
• 6. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together a:the first term nth termthe:nT
• 7. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together a:the first term nth termthe:nT n termsfirsttheofsumthe:nS
• 8. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together a:the first term nth termthe:nT n termsfirsttheofsumthe:nS find;,2.. 2 nTge n
• 9. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together a:the first term nth termthe:nT n termsfirsttheofsumthe:nS find;,2.. 2 nTge n 5Ti
• 10. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together a:the first term nth termthe:nT n termsfirsttheofsumthe:nS find;,2.. 2 nTge n 5Ti 27 252
• 11. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together a:the first term nth termthe:nT n termsfirsttheofsumthe:nS find;,2.. 2 nTge n 5Ti 27 252 (ii) whether 42 is a term in the sequence
• 12. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together a:the first term nth termthe:nT n termsfirsttheofsumthe:nS find;,2.. 2 nTge n 5Ti 27 252 (ii) whether 42 is a term in the sequence 242 2 n
• 13. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together a:the first term nth termthe:nT n termsfirsttheofsumthe:nS find;,2.. 2 nTge n 5Ti 27 252 (ii) whether 42 is a term in the sequence 242 2 n 40 402 n n
• 14. Series & Applications Definitions Sequence (Progression):a set of numbers that follow a pattern Series:a set of numbers added together a:the first term nth termthe:nT n termsfirsttheofsumthe:nS find;,2.. 2 nTge n 5Ti 27 252 (ii) whether 42 is a term in the sequence 242 2 n 40 402 n n , which is not an integer Thus 42 is not a term
• 15. Arithmetic Series
• 16. Arithmetic SeriesAn arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term.
• 17. Arithmetic SeriesAn arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d.
• 18. Arithmetic Series aTd 2 An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d.
• 19. Arithmetic Series aTd 2 23 TT An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d.
• 20. Arithmetic Series aTd 2 23 TT An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd
• 21. Arithmetic Series aTd 2 23 TT aT 1 An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd
• 22. Arithmetic Series aTd 2 23 TT aT 1 An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd daT 2
• 23. Arithmetic Series aTd 2 23 TT aT 1 An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd daT 2 daT 23
• 24. Arithmetic Series aTd 2 23 TT aT 1 An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd daT 2 daT 23 dnaTn 1
• 25. Arithmetic Series aTd 2 23 TT aT 1 term.generalthe find;,21and9If.. 73 TTige An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd daT 2 daT 23 dnaTn 1
• 26. Arithmetic Series aTd 2 23 TT aT 1 term.generalthe find;,21and9If.. 73 TTige 92 da An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd daT 2 daT 23 dnaTn 1
• 27. Arithmetic Series aTd 2 23 TT aT 1 term.generalthe find;,21and9If.. 73 TTige 92 da 216 da An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd daT 2 daT 23 dnaTn 1
• 28. Arithmetic Series aTd 2 23 TT aT 1 term.generalthe find;,21and9If.. 73 TTige 92 da 216 da 3 124 d d An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd daT 2 daT 23 dnaTn 1
• 29. Arithmetic Series aTd 2 23 TT aT 1 term.generalthe find;,21and9If.. 73 TTige 92 da 216 da 3 124 d d 3a An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd daT 2 daT 23 dnaTn 1
• 30. Arithmetic Series aTd 2 23 TT aT 1 term.generalthe find;,21and9If.. 73 TTige 92 da 216 da 3 124 d d 3a An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd daT 2 daT 23 dnaTn 1 313 nTn
• 31. Arithmetic Series aTd 2 23 TT aT 1 term.generalthe find;,21and9If.. 73 TTige 92 da 216 da 3 124 d d 3a An arithmetic series is a sequence of numbers in which each term after the first is found by adding a constant amount to the previous term. The constant amount is called the common difference, symbolised, d. 1 nn TTd daT 2 daT 23 dnaTn 1 313 nTn n n 3 333
• 32. 100Tii
• 33. 100Tii 300 1003
• 34. 100Tii 300 1003 (iii) the first term greater than 500
• 35. 100Tii 300 1003 (iii) the first term greater than 500 500nT
• 36. 100Tii 300 1003 (iii) the first term greater than 500 500nT 5003 n
• 37. 100Tii 300 1003 (iii) the first term greater than 500 500nT 5003 n 3 500 n
• 38. 100Tii 300 1003 (iii) the first term greater than 500 500nT 5003 n 3 500 n 167n
• 39. 100Tii 300 1003 (iii) the first term greater than 500 500nT 5003 n 3 500 n 167n 500first termtheis,501167 T
• 40. 100Tii 300 1003 (iii) the first term greater than 500 500nT 5003 n 3 500 n 167n 500first termtheis,501167 T Exercise 6C; 1aceg, 2bdf, 3aceg, 5, 7bd, 10, 13b, 15 Exercise 6D; 1adg, 2c, 3bd, 6a, 7, 9bd, 13