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Geometric Series
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
Geometric Series
An geometric series is a sequence of numbers in which each term after
the first is found by multiplying a...
ii  If T2  7 and T4  49, find r
ii  If T2  7 and T4  49, find r
           ar  7
ii  If T2  7 and T4  49, find r
           ar  7
          ar 3  49
ii  If T2  7 and T4  49, find r
           ar  7
          ar 3  49
            r2  7
ii  If T2  7 and T4  49, find r
           ar  7
          ar 3  49
            r2  7
             r 7
ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to
           ar  7                  be grea...
ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to
           ar  7                  be grea...
ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to
           ar  7                  be grea...
ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to
           ar  7                  be grea...
ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to
           ar  7                  be grea...
ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to
           ar  7                  be grea...
ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to
           ar  7                  be grea...
ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to
           ar  7                  be grea...
ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to
           ar  7                  be grea...
ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to
           ar  7                  be grea...
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11X1 T10 02 geometric series

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Transcript of "11X1 T10 02 geometric series"

  1. 1. Geometric Series
  2. 2. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term.
  3. 3. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r.
  4. 4. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T r 2 a
  5. 5. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T r 2 a T  3 T2
  6. 6. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T r 2 a T  3 T2 Tn r Tn1
  7. 7. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T T1  a r 2 a T  3 T2 Tn r Tn1
  8. 8. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T T1  a r 2 a T2  ar T  3 T2 Tn r Tn1
  9. 9. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T T1  a r 2 a T2  ar  T3 T3  ar 2 T2 Tn r Tn1
  10. 10. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T T1  a r 2 a T2  ar  T3 T3  ar 2 T2 Tn  ar n1 Tn r Tn1
  11. 11. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T T1  a r 2 a T2  ar  T3 T3  ar 2 T2 Tn  ar n1 Tn r Tn1 e.g .i  Find r and the general term of 2, 8, 32, 
  12. 12. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T T1  a r 2 a T2  ar  T3 T3  ar 2 T2 Tn  ar n1 Tn r Tn1 e.g .i  Find r and the general term of 2, 8, 32,  a  2, r  4
  13. 13. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T T1  a r 2 a T2  ar  T3 T3  ar 2 T2 Tn  ar n1 Tn r Tn1 e.g .i  Find r and the general term of 2, 8, 32,  Tn  ar n1 a  2, r  4
  14. 14. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T T1  a r 2 a T2  ar  T3 T3  ar 2 T2 Tn  ar n1 Tn r Tn1 e.g .i  Find r and the general term of 2, 8, 32,  Tn  ar n1 a  2, r  4  24  n 1
  15. 15. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T T1  a r 2 a T2  ar  T3 T3  ar 2 T2 Tn  ar n1 Tn r Tn1 e.g .i  Find r and the general term of 2, 8, 32,  Tn  ar n1 a  2, r  4  24  n 1  22  2 n 1  22  2 n2
  16. 16. Geometric Series An geometric series is a sequence of numbers in which each term after the first is found by multiplying a constant amount to the previous term. The constant amount is called the common ratio, symbolised, r. T T1  a r 2 a T2  ar  T3 T3  ar 2 T2 Tn  ar n1 Tn r Tn1 e.g .i  Find r and the general term of 2, 8, 32,  Tn  ar n1 a  2, r  4  24  n 1  22  2 n 1 Tn  2 2 n1  22  2 n2
  17. 17. ii  If T2  7 and T4  49, find r
  18. 18. ii  If T2  7 and T4  49, find r ar  7
  19. 19. ii  If T2  7 and T4  49, find r ar  7 ar 3  49
  20. 20. ii  If T2  7 and T4  49, find r ar  7 ar 3  49 r2  7
  21. 21. ii  If T2  7 and T4  49, find r ar  7 ar 3  49 r2  7 r 7
  22. 22. ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to ar  7 be greater than 500. ar 3  49 r2  7 r 7
  23. 23. ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to ar  7 be greater than 500. ar 3  49 a  1, r  4 r2  7 r 7
  24. 24. ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to ar  7 be greater than 500. Tn  14  n 1 ar 3  49 a  1, r  4 r2  7 r 7
  25. 25. ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to ar  7 be greater than 500. Tn  14  n 1 ar 3  49 a  1, r  4 r2  7 Tn  500 r 7
  26. 26. ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to ar  7 be greater than 500. Tn  14  n 1 ar 3  49 a  1, r  4 r2  7 Tn  500 r 7 4 n1  500
  27. 27. ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to ar  7 be greater than 500. Tn  14  n 1 ar 3  49 a  1, r  4 r2  7 Tn  500 r 7 4 n1  500 log 4 n1  log 500
  28. 28. ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to ar  7 be greater than 500. Tn  14  n 1 ar 3  49 a  1, r  4 r2  7 Tn  500 r 7 4 n1  500 log 4 n1  log 500 n  1 log 4  log 500
  29. 29. ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to ar  7 be greater than 500. Tn  14  n 1 ar 3  49 a  1, r  4 r2  7 Tn  500 r 7 4 n1  500 log 4 n1  log 500 n  1 log 4  log 500 n  1  4.48 n  5.48
  30. 30. ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to ar  7 be greater than 500. Tn  14  n 1 ar 3  49 a  1, r  4 r2  7 Tn  500 r 7 4 n1  500 log 4 n1  log 500 n  1 log 4  log 500 n  1  4.48 n  5.48 T6  1024, is the first term  500
  31. 31. ii  If T2  7 and T4  49, find r (iii) find the first term of 1, 4, 16, … to ar  7 be greater than 500. Tn  14  n 1 ar 3  49 a  1, r  4 r2  7 Tn  500 r 7 4 n1  500 log 4 n1  log 500 n  1 log 4  log 500 n  1  4.48 n  5.48 T6  1024, is the first term  500 Exercise 6E; 1be, 2cf, 3ad, 5ac, 6c, 8bd, 9ac, 10ac, 15, 17, 18ab, 20a
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