# 11X1 T10 02 geometric series

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- 1. Geometric Series

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. 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. 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 2a 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 2aT 3T2 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 2aT 3T2 TnrTn1 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. TT1 a r 2aT 3T2 TnrTn1 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. TT1 a r 2a T2 arT 3T2 TnrTn1 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. TT1 a r 2a T2 arT3T3 ar 2T2 TnrTn1 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. TT1 a r 2a T2 arT3T3 ar 2T2Tn ar n1 TnrTn1 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. TT1 a r 2a T2 arT3T3 ar 2T2Tn ar n1 TnrTn1e.g .i Find r and the general term of 2, 8, 32, 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. TT1 a r 2a T2 arT3T3 ar 2T2Tn ar n1 TnrTn1e.g .i Find r and the general term of 2, 8, 32, a 2, r 4 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. TT1 a r 2a T2 arT3T3 ar 2T2Tn ar n1 TnrTn1e.g .i Find r and the general term of 2, 8, 32, Tn ar n1 a 2, r 4 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. TT1 a r 2a T2 arT3T3 ar 2T2Tn ar n1 TnrTn1e.g .i Find r and the general term of 2, 8, 32, Tn ar n1 a 2, r 4 24 n 1 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. TT1 a r 2a T2 arT3T3 ar 2T2Tn ar n1 TnrTn1e.g .i Find r and the general term of 2, 8, 32, Tn ar n1 a 2, r 4 24 n 1 22 2 n 1 22 2 n2 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. TT1 a r 2a T2 arT3T3 ar 2T2Tn ar n1 TnrTn1e.g .i Find r and the general term of 2, 8, 32, Tn ar n1 a 2, r 4 24 n 1 22 2 n 1 Tn 2 2 n1 22 2 n2 17. ii If T2 7 and T4 49, find r 18. ii If T2 7 and T4 49, find rar 7 19. ii If T2 7 and T4 49, find rar 7 ar 3 49 20. ii If T2 7 and T4 49, find rar 7 ar 3 49 r2 7 21. ii If T2 7 and T4 49, find rar 7 ar 3 49 r2 7r 7 22. ii If T2 7 and T4 49, find r (iii) find the first term of 1, 4, 16, toar 7be greater than 500. ar 3 49r2 7 r 7 23. ii If T2 7 and T4 49, find r (iii) find the first term of 1, 4, 16, toar 7be greater than 500. ar 3 49a 1, r 4r2 7 r 7 24. ii If T2 7 and T4 49, find r (iii) find the first term of 1, 4, 16, toar 7be greater than 500. Tn 14 n 1 ar 3 49a 1, r 4r2 7 r 7 25. ii If T2 7 and T4 49, find r (iii) find the first term of 1, 4, 16, toar 7be greater than 500. Tn 14 n 1 ar 3 49a 1, r 4r2 7 Tn 500 r 7 26. ii If T2 7 and T4 49, find r (iii) find the first term of 1, 4, 16, toar 7be greater than 500. Tn 14 n 1 ar 3 49a 1, r 4r2 7 Tn 500 r 7 4 n1 500 27. ii If T2 7 and T4 49, find r (iii) find the first term of 1, 4, 16, toar 7be greater than 500.Tn 14 n 1 ar 3 49a 1, r 4r2 7 Tn 500 r 7 4 n1 500 log 4 n1 log 500 28. ii If T2 7 and T4 49, find r (iii) find the first term of 1, 4, 16, toar 7be greater than 500.Tn 14 n 1 ar 3 49a 1, r 4r2 7 Tn 500 r 7 4 n1 500 log 4 n1 log 500n 1 log 4 log 500 29. ii If T2 7 and T4 49, find r (iii) find the first term of 1, 4, 16, toar 7be greater than 500.Tn 14 n 1 ar 3 49a 1, r 4r2 7 Tn 500 r 7 4 n1 500 log 4 n1 log 500n 1 log 4 log 500 n 1 4.48 n 5.48 30. ii If T2 7 and T4 49, find r (iii) find the first term of 1, 4, 16, toar 7be greater than 500.Tn 14 n 1 ar 3 49a 1, r 4r2 7 Tn 500 r 7 4 n1 500 log 4 n1 log 500n 1 log 4 log 500 n 1 4.48 n 5.48 T6 1024, is the first term 500 31. ii If T2 7 and T4 49, find r (iii) find the first term of 1, 4, 16, toar 7be greater than 500.Tn 14 n 1 ar 3 49a 1, r 4r2 7 Tn 500 r 7 4 n1 500 log 4 n1 log 500n 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