11X1 T14 05 sum of an arithmetic series

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  1. 1. Sum Of An Arithmetic Series
  2. 2. Sum Of An Arithmetic Series S n a a d a 2d l 2d l d l
  3. 3. Sum Of An Arithmetic Series S n a a d a 2d l 2d l d l S n l l d l 2d a 2 d a d a
  4. 4. Sum Of An Arithmetic Series S n a a d a 2d l 2d l d l S n l l d l 2d a 2 d a d a 2S n a l a l a l a l a l a l
  5. 5. Sum Of An Arithmetic Series S n a a d a 2d l 2d l d l S n l l d l 2d a 2 d a d a 2S n a l a l a l a l a l a l na l
  6. 6. Sum Of An Arithmetic Series S n a a d a 2d l 2d l d l S n l l d l 2d a 2 d a d a 2S n a l a l a l a l a l a l na l nS n a l if we know l2
  7. 7. Sum Of An Arithmetic Series S n a a d a 2d l 2d l d l S n l l d l 2d a 2 d a d a 2S n a l a l a l a l a l a l na l nS n a l if we know l2otherwise;
  8. 8. Sum Of An Arithmetic Series S n a a d a 2d l 2d l d l S n l l d l 2d a 2 d a d a 2S n a l a l a l a l a l a l na l nS n a l if we know l2otherwise; nS n a a n 1d 2
  9. 9. Sum Of An Arithmetic Series S n a a d a 2d l 2d l d l S n l l d l 2d a 2 d a d a 2S n a l a l a l a l a l a l na l nS n a l if we know l2otherwise; nS n a a n 1d 2 nS n 2a n 1d 2
  10. 10. e.g. i If a 3 and T6 96, find S6
  11. 11. e.g. i If a 3 and T6 96, find S6 n S n a l 2
  12. 12. e.g. i If a 3 and T6 96, find S6 n S n a l 2 6 S6 3 96 2
  13. 13. e.g. i If a 3 and T6 96, find S6 n S n a l 2 6 S6 3 96 2 297
  14. 14. e.g. i If a 3 and T6 96, find S6 n S n a l 2 6 S6 3 96 2 297 ii Find the sum of the first 100 even numbers
  15. 15. e.g. i If a 3 and T6 96, find S6 n S n a l 2 6 S6 3 96 2 297 ii Find the sum of the first 100 even numbersa 2, d 2 and n 100
  16. 16. e.g. i If a 3 and T6 96, find S6 n S n a l 2 6 S6 3 96 2 297 ii Find the sum of the first 100 even numbersa 2, d 2 and n 100n S n 2a n 1d 2
  17. 17. e.g. i If a 3 and T6 96, find S6 n S n a l 2 6 S6 3 96 2 297 ii Find the sum of the first 100 even numbersa 2, d 2 and n 100 n S n 2a n 1d 2 100S100 4 9922
  18. 18. e.g. i If a 3 and T6 96, find S6 n S n a l 2 6 S6 3 96 2 297 ii Find the sum of the first 100 even numbersa 2, d 2 and n 100 n S n 2a n 1d 2 100S100 4 9922 50 202 10100
  19. 19. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.
  20. 20. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 100
  21. 21. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 10010 2a 9d 100 2
  22. 22. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 10010 2a 9d 100 2 2a 9d 20
  23. 23. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 100S5 2510 2a 9d 100 2 2a 9d 20
  24. 24. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 100S5 25105 2a 9d 100 2a 4d 25 22 2a 9d 20
  25. 25. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 100S5 25105 2a 9d 100 2a 4d 25 22 2a 9d 20 a 2d 5
  26. 26. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 100S5 25105 2a 9d 100 2a 4d 25 22 2a 9d 20 a 2d 52a 9d 202a 4d 10
  27. 27. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 100S5 25105 2a 9d 100 2a 4d 25 22 2a 9d 20 a 2d 52a 9d 202a 4d 105d 10
  28. 28. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 100S5 25105 2a 9d 100 2a 4d 25 22 2a 9d 20 a 2d 52a 9d 202a 4d 105d 10 d 2 a 1
  29. 29. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 100S5 25105 2a 9d 100 2a 4d 25 22 2a 9d 20 a 2d 52a 9d 202a 4d 105d 10 d 2 a 1 Tn a n 1d
  30. 30. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 100S5 25105 2a 9d 100 2a 4d 25 22 2a 9d 20 a 2d 52a 9d 202a 4d 105d 10 d 2 a 1 Tn a n 1d 1 n 12 2n 1
  31. 31. iii The sum of the first 10 numbers is 100 and the first 5 numbers is 25.Find a, d and the general term.S10 100S5 25105 2a 9d 100 2a 4d 25 22 2a 9d 20 a 2d 52a 9d 202a 4d 105d 10 d 2 a 1 Tn a n 1d 1 n 12 2n 1 a 1, d 2, Tn 2n 1
  32. 32. 10iv 3n 6n1
  33. 33. 10iv 3n 6n1 a 3, l 24, n 10
  34. 34. 10iv 3n 6n1 a 3, l 24, n 10 n S n a l 2
  35. 35. 10iv 3n 6n1 a 3, l 24, n 10nS n a l 210 S10 3 24 2 105
  36. 36. 10iv 3n 6n1a 3, l 24, n 10 n S n a l 2 10S10 3 242 105 Exercise 6I; 2ace, 4bd, 5ac, 7c, 8f, 9, 11ac, 13be, 16a 17bc, 19, 20a*