# 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