February 06, 2017
Honors Algebra 2 - Geometric sequences
2, 8, 14, 20,26 ...
common difference
3, 6, 12, 24, 48, ...
common ratio
arithmetic, geometric, or neither?
45, 90, 180, 360, ...
25, 50, 75, 100, ...
1, 4, 9, 16, ...
February 06, 2017
Just like with arithmetic sequences, there are two ways to define these
Recursive formulas
Explicit formulas
Find the 10th term of the sequence 4, 12, 36, ...
Find the 8th term of the sequence
February 06, 2017
What would you choose?
a) Someone offers to give you $1,000,000 with one stipulation. They will take 10%
of your total for the next 30 days. At the end of 30 days, you get to keep whatever
money is left over.
b) Someone gives you $50000 with no stipulations. You can spend it after waiting
30 days.
February 06, 2017
February 06, 2017
Just like arithmetic sequences have an arithmetic mean, geometric sequences have a
geometric mean
geometric mean =
48, ____, 3
972, ___, ____, ____, 12
February 06, 2017
Homework: Math XL Geometric Sequences