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Sequences

Page history last edited by PBworks 16 years, 4 months ago

Learning Objectives

 

Problem 1 of 3

 

Find the sum of the infinite series

 

 

Solution

t1=5

r=2/3

 

s00=(5/1-2/3)

s00=(5/1-(0.66)

s00=(5/0.34)

s00=14.70

 

s00=(5/1-2/3)

s00=(5/1/3)

s00=15

 

 

still working , dont touch

 

 

 

 

Problem 2 of 3

 

The first year that a sugar maple tree is tapped it produces 50 L of sap. As the tree ages, the sap production drops by 4% each year.

 

(a) Find the total volume of sap taken from the tree in the first 5 years.

 

(b) Estimate the total amount of sap that the tree can produce.

 

 

Solution

 

 

 

Problem 3 of 3

 

The table below shows the population of Small Town Manitoba over a 5-year period.

YearPopulation
199875
1999150
2000300
2001 600
2002 1 200
2003 2 400

(a) Determine the equation that models population as an exponential function of the number of years since 1998.

 

 

(b) Use the equation to determine the predicted population in 2008.

 

 

(c) The yearly popultion figures for Small Town form a geometric sequence. Which term of the sequence would yield the predicted population for 2008?

 

 

(d) Use the formula tn = ar(n – 1), to find the predicted population for Small Town in 2008.

 

 

Solution

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