Learning Objectives

Problem 1 of 3

Find the sum of the infinite series

Solution

Problem 2 of 3

The second term of a geometric sequence is 5. The sixth term is 80. Find the value of the twentieth term.

Solution

http://pc40s.pbwiki.com/f/geometric%20sequence.bmp

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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