type of sequence
40, 43, 46, 49, 52, ...
Arithmetic
12, 15, 18, …
+3
3, 12, 48, . . .
* 4
Arithmetic Sequence
Pattern with addition (common difference)
-4, -8, -12, ...
-16
−4, 12, −36, 108, −324, ...
Geometric
1/2, 1, 3/2, .. .
+1/2
-3, 9, -27, 81, …
* -3
Common Ratio
the multiplication pattern of a geometric sequence
-29, -33, -37, . ..
-41
1, 5, 25, 125, 625, ...
Geometric
3/4, 5/4, 7/4, ...
+1/2
50, 25, 25/2, . . .
* 1/2
Geometric Sequence
pattern with multiplication (common ratio)
48, 192, 768,...
3072
−29, −34, −39, −44, −49, ...
Arithmetic
-29, -33, -37, . . .
-4
600, -300, 150, -75, …
* -1/2
r=
d=
the common ratio
the common difference
2/3, 2/9, 2/27, . . .
2/81
4, 16, 36, 64, 100, ...
Neither
-17, -25, -33, .. .
-8
6, 2, 2/3, . . .
* 1/3
Finite Sequence
a sequence with a set number of terms. cannot go on to infinity
7, -21, 63, .. .
-189