1. 2.6 TLW apply geometric sequence.

2. Geometric Sequence  multiply a number to get from one term to the next.  Quotient between any term and previous is the same.  Common ratio: constant between 2 consecutive terms

3. General Term

4. Example  Given geometric sequence 100, 25, 6.25,...  What’s r?  Find the general term?  Find the 4 th term.

5. Example

6.  Find the number of terms in the geometric sequence 0.3, 0.9,..., 53144.1.

7. Example

8.  The value of a car when it was first bought was $45 000. The car loses 20% of its value each year.  Calculate the vale of the car after one, two and three years.  Find how long it will take for the value of the car to fall below $9000.

9. Geometric Series

10. Example  Use the formula for the sum of the n terms of a geometric sequence to calculate 3 + 9 + 27 + 81 +... to ten terms.

11. Example  Find the sum of the geometric series 1 + 2 + 4 +... + 1024.

12. Example  A company is offering Abid a job with an intitial salary of $28 000 and a 4% raise each year after that. This 4% raise continues every year.  Find what Abid’s salary will be after five years.  Calculate the amount of money that Abid will have earned after 15 years in his career.

13. Assignment  P. 100-103 #2, 5, 6, 8, 9, 10, 11, 14, 15