1.3 Geometric Sequences Notes.notebook · 1.3 Geometric Sequences Notes.notebook 7 March 02, 2015...
10
1.3 Geometric Sequences Notes.notebook 1 March 02, 2015 1.3 Geometric Sequences 1) provide and justify, an example of a geometric sequence 2) derive a rule for determining the general term of a geometric sequence 3) solve a problem that involves a geometric sequence
Transcript of 1.3 Geometric Sequences Notes.notebook · 1.3 Geometric Sequences Notes.notebook 7 March 02, 2015...
1.3 Geometric Sequences Notes.notebook
1
March 02, 2015
1.3 Geometric Sequences
1) provide and justify, an example of a geometric sequence
2) derive a rule for determining the general term of a geometric sequence
3) solve a problem that involves a geometric sequence
1.3 Geometric Sequences Notes.notebook
2
March 02, 2015
1.3 Geometric Sequences
1.3 Geometric Sequences Notes.notebook
3
March 02, 2015
The general term of a geometric sequence where "n" is a positive integer is ...
tn = t1 rn 1where
t1 is the first term of the sequence
n is the number of terms
r is the common ratio
tn is the general term or nth term
1.3 Geometric Sequences Notes.notebook
4
March 02, 2015
Examples: Determine the value of "r" for the following sequences: 1) 2, 4, 8, 16, ... 2) 81, 27, 9, 3, 1, ...
3) 4) 1, 1, 1, 1, ...
1.3 Geometric Sequences Notes.notebook
5
March 02, 2015
Suppose there were three bacteria originally present in a sample. Determine the general term that relates the number of bacteria to the doubling period of the bacteria.
1.3 Geometric Sequences Notes.notebook
6
March 02, 2015
Sometimes you use a photocopier to create enlargements or reductions. Suppose the actual length of a photograph is 22 cm and the smallest size that a copier can make is 60% of the original.What is the shortest possible length of the photograph after 6 reductions? Express your answer to the nearest tenth of a centimetre.
1.0 cm
1.3 Geometric Sequences Notes.notebook
7
March 02, 2015
In a geometric sequence, the second term is 28 and the fifth term is 1792. Determine the values of t1 and r, and list the first three terms of the sequence.
Determining t1 and r
1.3 Geometric Sequences Notes.notebook
8
March 02, 2015
In 1990 the population of Canada was approximately 26.6 million. The population projection for 2025 is approximately 38.4 million. If this projection were based on a geometric sequence, what would be the annual growth rate?
1.3 Geometric Sequences Notes.notebook
9
March 02, 2015
1.3 Geometric Sequences Notes.notebook
10
March 02, 2015
Check Your Understanding
pages 3943
#1,2,4,5,8,10(skip e),12,14,18
