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2.6 TLW apply geometric sequence.. Geometric Sequence  multiply a number to get from one term to the next.  Quotient between any term and previous is.

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Presentation on theme: "2.6 TLW apply geometric sequence.. Geometric Sequence  multiply a number to get from one term to the next.  Quotient between any term and previous is."— Presentation transcript:

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,...,

7 Example

8  The value of a car when it was first bought was $ 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 to ten terms.

11 Example  Find the sum of the geometric series

12 Example  A company is offering Abid a job with an intitial salary of $ 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 #2, 5, 6, 8, 9, 10, 11, 14, 15


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