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 the same.  Common ratio: constant between 2 consecutive terms

General Term

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

Example

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

Example

 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.

Geometric Series

Example  Use the formula for the sum of the n terms of a geometric sequence to calculate to ten terms.

Example  Find the sum of the geometric series

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.

Assignment  P #2, 5, 6, 8, 9, 10, 11, 14, 15