11.1 Geometric Sequences
Find the next 3 terms...
1, 3, 9, 27, ...
-16, 4, -1,
1
4
...
Geometric sequences can be thought of as functions.
The term number is the input.
The term is the output.
Example: 3, 6, 12, 24, ...
Term
(output)
(Calculation)
Term Number
(input)
1
3
2
3 2
3
3 2
4
3
3 2
1
6
2
12
3
24
So the nth term =
In general, the nth term of a geometric sequence is :
an = a1 r n - 1
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