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.

**Year** | **Population** |

1998 | 75 |

1999 | 150 |

2000 | 300 |

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 t_{n} = ar^{(n – 1)}, to find the predicted population for Small Town in 2008.

**Solution**

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